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No-data Group Title

An urn contains 7 white balls and 3 red balls. Three balls are selected. In how many ways can the 3 balls be drawn from the total of 10 balls a) If 2 balls are red? b) If 3 balls are red and 2 are white? c) If at leas 4 are red balls?

  • 2 years ago
  • 2 years ago

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  1. No-data Group Title
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    I'm trying to understand the problem.

    • 2 years ago
  2. No-data Group Title
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    I suppose I have to use combinations.

    • 2 years ago
  3. TuringTest Group Title
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    me too are we taking out 3 or more?

    • 2 years ago
  4. TuringTest Group Title
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    it says 3 but then talks about if 4 are red...

    • 2 years ago
  5. No-data Group Title
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    three

    • 2 years ago
  6. TuringTest Group Title
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    so for the first are we assuming that 2 of the 3 we are taking out are red or...?

    • 2 years ago
  7. No-data Group Title
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    I guess. But if that is the case then I need to use a permutation.

    • 2 years ago
  8. TuringTest Group Title
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    that's what I'm confused on if the first question is asking 'we draw 3 balls, how many ways can we do this of two of the three we take out are red?' then I would say 3 ways to select red balls 7 ways to select the white ball 3*7=21 but then what about the rest?

    • 2 years ago
  9. TuringTest Group Title
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    that's if the balls are unique of course^

    • 2 years ago
  10. No-data Group Title
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    No they are not unique.

    • 2 years ago
  11. TuringTest Group Title
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    oh, well then I'm really confused. I especially don't see how you can have 4 red balls when it says there are 3 in the urn..:/

    • 2 years ago
  12. No-data Group Title
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    Ahhh!

    • 2 years ago
  13. No-data Group Title
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    I made a mistake. I copy part of the problem below the one i wanted.

    • 2 years ago
  14. TuringTest Group Title
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    that makes sense

    • 2 years ago
  15. No-data Group Title
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    b) If all 3 balls are white.

    • 2 years ago
  16. No-data Group Title
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    c) If all 3 balls are red=

    • 2 years ago
  17. No-data Group Title
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    Sorry =/

    • 2 years ago
  18. TuringTest Group Title
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    well I still don't get the question. if it is as I said above and the balls are not unique, then...no I'm lost, sorry

    • 2 years ago
  19. No-data Group Title
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    Well at least I'm don't feel alone with the problem =)

    • 2 years ago
  20. No-data Group Title
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    I really want to understand this counting techniques.

    • 2 years ago
  21. TuringTest Group Title
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    lol I'll be interested to see if someone understands it. Buena suerte!

    • 2 years ago
  22. No-data Group Title
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    Thank you!

    • 2 years ago
  23. notsmart Group Title
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    mindception

    • 2 years ago
  24. No-data Group Title
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    I think you were right TuringTest. They can be called: red_1, red_2, red_3, etc.

    • 2 years ago
  25. No-data Group Title
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    In that case I'm selecting 2 out of 7 white balls and 1 out of 3 red balls. So.

    • 2 years ago
  26. No-data Group Title
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    \[C(7,2)\cdot C(3,1)\]

    • 2 years ago
  27. TuringTest Group Title
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    I though the first was 2 red balls and one white

    • 2 years ago
  28. TuringTest Group Title
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    does the order that we pull them out in matter? I guess it should, so my above answer is wrong.

    • 2 years ago
  29. No-data Group Title
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    Sorry my bad.

    • 2 years ago
  30. No-data Group Title
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    a) If2 balls are white and 1 is red.

    • 2 years ago
  31. No-data Group Title
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    The order matters, otherwise I'm lost.

    • 2 years ago
  32. TuringTest Group Title
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    yes, otherwise the answer to c) is 1

    • 2 years ago
  33. No-data Group Title
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    exactly!

    • 2 years ago
  34. No-data Group Title
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    Tu sabes español verdad T

    • 2 years ago
  35. No-data Group Title
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    TuringTest

    • 2 years ago
  36. TuringTest Group Title
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    well c) should still be the easiest: 3!=6

    • 2 years ago
  37. TuringTest Group Title
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    on poco tengo que hacer la tarea para miercoles. no hice nada en lalas vacaciones! estas de acuerdo conmigo acerca parte c) ?

    • 2 years ago
  38. TuringTest Group Title
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    un*

    • 2 years ago
  39. No-data Group Title
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    Ahh. What do you think about this: I help you with your spanish, and you can help me with my english.

    • 2 years ago
  40. No-data Group Title
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    What homework?

    • 2 years ago
  41. TuringTest Group Title
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    your english is a lot better than my spanish I'm going to school here taking language classes do you agree about part c?

    • 2 years ago
  42. No-data Group Title
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    I think the answer to c) is 1

    • 2 years ago
  43. TuringTest Group Title
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    only if the order doesn't matter

    • 2 years ago
  44. TuringTest Group Title
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    if it does then it is 6 do you want me to convince you?

    • 2 years ago
  45. No-data Group Title
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    Are you sure the order matters?

    • 2 years ago
  46. TuringTest Group Title
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    no

    • 2 years ago
  47. No-data Group Title
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    Me neither.

    • 2 years ago
  48. TuringTest Group Title
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    lol oh man...

    • 2 years ago
  49. No-data Group Title
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    I'm going to draw some circles to represent the balls lol

    • 2 years ago
  50. TuringTest Group Title
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    me to I guess

    • 2 years ago
  51. No-data Group Title
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    Well Hero sometimes help with my english. Hi write something to him and he says: "No, you can write that in this way". I'm very grateful to him, but I'm ashamed that I can't not help him with something I know.

    • 2 years ago
  52. No-data Group Title
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    I was wondering if I can ask you similar things, and I can help you if you have spanish doubts.

    • 2 years ago
  53. No-data Group Title
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    Well even if you can't help me, you can always ask me if you have some doubts.

    • 2 years ago
  54. TuringTest Group Title
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    "can't not help him" should be "can't help him" and I your the first mexican I've met who actually wants to help. All my friends just make fun of me. anyhow I see 6! ways te select 2 white balls out of 7

    • 2 years ago
  55. TuringTest Group Title
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    thanks by the way

    • 2 years ago
  56. TuringTest Group Title
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    I meant 6+5+4+3+2+1=21 ways to select the two white ones

    • 2 years ago
  57. No-data Group Title
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    But if the order matters It should be a permutation, so P(7,2) is not equal to 6! I think.

    • 2 years ago
  58. TuringTest Group Title
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    no, I was wrong about that sorry my working theory is that the order does not matter and that there are 21 ways to select 2 white balls out of seven, and 3 ways to select the red one for each of those, so 21*3=63 ways for part a) make any sense?

    • 2 years ago
  59. No-data Group Title
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    Yes! that makes sense!

    • 2 years ago
  60. TuringTest Group Title
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    ok then let's see if I have anything for b)...

    • 2 years ago
  61. No-data Group Title
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    I thought about selecting 3 whites out of 7, so C(7,3) = 35

    • 2 years ago
  62. TuringTest Group Title
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    I agree :D

    • 2 years ago
  63. TuringTest Group Title
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    well so then the answer is a)63 b)35 c)1 IF the order of selection does not matter. so what if it does???

    • 2 years ago
  64. No-data Group Title
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    Mmm good question, I'm thinking about it.

    • 2 years ago
  65. TuringTest Group Title
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    I don't think I know how to do those.

    • 2 years ago
  66. No-data Group Title
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    So you think this problem is done?

    • 2 years ago
  67. No-data Group Title
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    That would be great! hehe

    • 2 years ago
  68. TuringTest Group Title
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    I think you probably know better. Where did you get this problem? Does it seem like it should be so difficult as to have to consider order? That seems extraneous to me, unless you have an advanced combinatorics book or something.

    • 2 years ago
  69. No-data Group Title
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    It is from the book: "College Algebra" written by Sullivan. It seems isa High School book.

    • 2 years ago
  70. TuringTest Group Title
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    Then I think we are done :)

    • 2 years ago
  71. No-data Group Title
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    Thank you =). And what do you have to do for homework?

    • 2 years ago
  72. TuringTest Group Title
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    I'm trying to figure out what my girlfriend just texted me... chulos ojos de perrito enamorado not sure what enamorado means, but it must be enamored, eh? I have to do adverbs, practice past participle, negations, and... I don't know. A lot. I should have done it over break.

    • 2 years ago
  73. TuringTest Group Title
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    Are you in school?

    • 2 years ago
  74. No-data Group Title
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    enamorado means to be in love.

    • 2 years ago
  75. TuringTest Group Title
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    awww well that's almost what enamored means

    • 2 years ago
  76. No-data Group Title
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    I finished my credits at college, I hope to get my undergraduated grade this year.

    • 2 years ago
  77. TuringTest Group Title
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    in what subject?

    • 2 years ago
  78. No-data Group Title
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    Mechatronics Engineering

    • 2 years ago
  79. No-data Group Title
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    I don't understand quite well what you mean with enamored. Does that word exist in english?

    • 2 years ago
  80. TuringTest Group Title
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    Dang, what math did you have to take for that? I would think a lot, but it seems like you don't know too much more than me.

    • 2 years ago
  81. TuringTest Group Title
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    enamored means obsessed basically, but the word doesn't mean something quite as bad as obsessed

    • 2 years ago
  82. No-data Group Title
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    Ahh so you were almost right.

    • 2 years ago
  83. TuringTest Group Title
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    or 'awestruck' like I'm enamored by the presence of somebody special so almost...

    • 2 years ago
  84. No-data Group Title
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    well I took the basics matehmatics, Algebra, Linear Algebra, Analytic Geometry, Calculus, Probability(Even it seems I didn't), Differential Equations, Complex Analisys, etc.

    • 2 years ago
  85. TuringTest Group Title
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    Cool! at UNAM ?

    • 2 years ago
  86. No-data Group Title
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    yes, How did you know?

    • 2 years ago
  87. TuringTest Group Title
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    because that's where I want to go

    • 2 years ago
  88. TuringTest Group Title
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    and you told me you lived in DF

    • 2 years ago
  89. No-data Group Title
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    Ohh, want do you want to study there?

    • 2 years ago
  90. No-data Group Title
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    What, sorry.

    • 2 years ago
  91. TuringTest Group Title
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    Whatever the highest physics I can get into is.

    • 2 years ago
  92. TuringTest Group Title
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    what sorry???

    • 2 years ago
  93. No-data Group Title
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    I mispelled something, nevermind. So you want a physic's PhD, at UNAM.

    • 2 years ago
  94. TuringTest Group Title
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    If I can. I don't know how they feel about gringos getting in though. But UGDL sucks.

    • 2 years ago
  95. No-data Group Title
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    So you are studying at UGDL right now.

    • 2 years ago
  96. No-data Group Title
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    Why sucks?

    • 2 years ago
  97. TuringTest Group Title
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    Just two classes. Between that, moving here, and language I'm busy. It's just a bad system in my opinion. They don't have high enough standards.

    • 2 years ago
  98. No-data Group Title
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    You mean academic standars, or administrative standars?

    • 2 years ago
  99. TuringTest Group Title
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    academic was what I meant, but I'm sure administrative as well. My girlfriend had 4/6 of her graphic design teachers be about 25 years old. I'm almost that old! Not exactly tenure...

    • 2 years ago
  100. No-data Group Title
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    Well the teachers here are very old hehe.

    • 2 years ago
  101. No-data Group Title
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    but there is a good academic level too.

    • 2 years ago
  102. No-data Group Title
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    But I think that the best option is at Cinvestav, have you heard of it?

    • 2 years ago
  103. TuringTest Group Title
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    no, where's that?

    • 2 years ago
  104. No-data Group Title
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    It's has several (places?) on the country, Queretaro, D.F, I'm not sure if Guadalajara.

    • 2 years ago
  105. TuringTest Group Title
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    I'll look into it. wrote the name down

    • 2 years ago
  106. No-data Group Title
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    There you can find the best academic level in the country.It is difficult to get in.

    • 2 years ago
  107. No-data Group Title
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    CINVESTAV

    • 2 years ago
  108. TuringTest Group Title
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    brief english lesson: It's has several (places?) on the country It has several locations in the country ^^^correct

    • 2 years ago
  109. No-data Group Title
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    Ohh thank you, that is what i meant with my bad english!

    • 2 years ago
  110. No-data Group Title
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    There is a Guadalajara's Cinvestav.

    • 2 years ago
  111. TuringTest Group Title
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    I wish you could just give me little tips like that in spanish, but I've only been taking classes for 2 1/2 months. It'll be awhile befor I'm fluent :( -there is?!?!?

    • 2 years ago
  112. No-data Group Title
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    Don't worry feel free to write in spanish. That is the best way to learn, by practicing

    • 2 years ago
  113. No-data Group Title
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    (there is is wrong?)

    • 2 years ago
  114. TuringTest Group Title
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    Thanks for not laughing at me... or at least thanks for not writing lol!! what 'there is'? where

    • 2 years ago
  115. TuringTest Group Title
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    oh mine that was to your last comment about there being a school here I went 'there is?" out of surprise

    • 2 years ago
  116. No-data Group Title
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    Don't worry =P. I was telling you that there is a Cinvestav located on Guadalajara.

    • 2 years ago
  117. No-data Group Title
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    ahh ok hehe

    • 2 years ago
  118. No-data Group Title
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    You can take a look here: http://www.cinvestav.mx/posgrado.aspx

    • 2 years ago
  119. No-data Group Title
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    Does you gf speaks english?

    • 2 years ago
  120. No-data Group Title
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    I even have some of the (admission or entrance?) exams. Let me see..

    • 2 years ago
  121. TuringTest Group Title
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    Yeah, which has really slowed me down. She has no patience. Everytime I ask her something she says 'that's stupid, why would you ask that?' I will be looking into that school here, I kinda like Guadalajara, and after living in LA for 12 years I don't really want to move to DF more expensive to, right?

    • 2 years ago
  122. TuringTest Group Title
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    cool! entrance exam is the term, what is it in spanish?

    • 2 years ago
  123. No-data Group Title
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    Examen de admisión. That is the reason I get confused.

    • 2 years ago
  124. TuringTest Group Title
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    right, I tried to say pagar atencion once, I got laughed at, but that's what it is in english "pay attention" not "put attention"

    • 2 years ago
  125. TuringTest Group Title
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    again sorry for not having accent marks...

    • 2 years ago
  126. No-data Group Title
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    Don't worry 70% of mexicans don't know how to use the accent marks.

    • 2 years ago
  127. No-data Group Title
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    But is good that you learn how to use them.

    • 2 years ago
  128. TuringTest Group Title
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    My roomate spoke spanish at home all his life and was born in DF, but I correct him on things sometimes because I'm learning spanish formally. He never did that.

    • 2 years ago
  129. No-data Group Title
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    You mean your roomate at LA?

    • 2 years ago
  130. TuringTest Group Title
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    No, here in GDL

    • 2 years ago
  131. No-data Group Title
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    Ahh.

    • 2 years ago
  132. TuringTest Group Title
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    I think we have the same time zone, right? I know it's not that late, but I think I should try to sleep. I have to do 2 weeks worth of homework tomorrow =(

    • 2 years ago
  133. No-data Group Title
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    Yeah, it's better to go to sleep. I'm still looking for the entrance exam.

    • 2 years ago
  134. TuringTest Group Title
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    Thanks for the info on Cinvestav, I'll look into it. And looking for the exam. If you find it I'd be curious to hear what it has.

    • 2 years ago
  135. No-data Group Title
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    Ok, Have a good night, I'm goint to be here tomorrow in case you need some help.

    • 2 years ago
  136. TuringTest Group Title
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    I may have to take you up on that, thanks! goodnight No-Data.

    • 2 years ago
  137. No-data Group Title
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    to what?

    • 2 years ago
  138. No-data Group Title
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    what does it means to take something up?

    • 2 years ago
  139. TuringTest Group Title
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    "to take someone up on an offer" I said I'd have to take you up on your offer, meaning I may ask you for help with spanish.

    • 2 years ago
  140. TuringTest Group Title
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    or just, 'I might take you up on that' for short

    • 2 years ago
  141. No-data Group Title
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    Ahh thanks!

    • 2 years ago
  142. No-data Group Title
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    Well is difficult to learn that in a book or with google traslator. thank you so much. And have a good night again

    • 2 years ago
  143. TuringTest Group Title
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    yeah expressions are tricky... goodnight :D

    • 2 years ago
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