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gjhfdfg

  • 3 years ago

Evaluating expressions,

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  1. gjhfdfg
    • 3 years ago
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    Easiest problem ever, but I forgot how to do them, |dw:1361117139126:dw| Can someone show me step by step how to solve this or create a problem giving me an example? Thanks.!

  2. muhammad9t5
    • 3 years ago
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    \[1-\frac{ 694 }{ 896 }\] do you mean?

  3. gjhfdfg
    • 3 years ago
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    No, its P

  4. muhammad9t5
    • 3 years ago
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    then p4 do you mean its power or 4 is multiplied?

  5. muhammad9t5
    • 3 years ago
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    like p4 or \[p^4\]

  6. gjhfdfg
    • 3 years ago
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    I have no idea... It just says 6P4,

  7. gjhfdfg
    • 3 years ago
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    Noo, its not that, I'll take a screenshot

  8. muhammad9t5
    • 3 years ago
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    ok... i am waiting for screenshot.

  9. gjhfdfg
    • 3 years ago
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    This is the problem,

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  10. muhammad9t5
    • 3 years ago
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    this is Permutation.

  11. hartnn
    • 3 years ago
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    ohh..its permutation!

  12. gjhfdfg
    • 3 years ago
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    I also have this problem that includes a exclamation mark, |dw:1361117585779:dw| Do you know what its for?

  13. gjhfdfg
    • 3 years ago
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    & whats permutation? O_O I have never ever heard of that

  14. hartnn
    • 3 years ago
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    \(!\) means a factorial.

  15. hartnn
    • 3 years ago
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    \(n!= n(n-1)(n-2).......3.2.1\) when n is a whole number. like for example 5! = 5*4*3*2*1 = 120

  16. muhammad9t5
    • 3 years ago
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    answer is 1 it means that you need to expand 6 as 4 times and 8 as 6 times.

  17. muhammad9t5
    • 3 years ago
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    1/56

  18. hartnn
    • 3 years ago
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    before getting to permutation, you should know what a factorial ! is .

  19. gjhfdfg
    • 3 years ago
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    OH.! so I had something like 10! I would have to do 10*9*8*7*6*5*4*3*2*1= etc..?

  20. hartnn
    • 3 years ago
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    yes, thats correct.

  21. muhammad9t5
    • 3 years ago
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    6P4= 6*5*4*3 and 8P6= 8*7*6*5*4*3

  22. muhammad9t5
    • 3 years ago
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    yes you are correct.

  23. hartnn
    • 3 years ago
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    do you want to know how to get that^ ?

  24. gjhfdfg
    • 3 years ago
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    I feel like I've done this stuff in 8th grade but had forgotten how to do some of this. These questions are for my pre-cal class & I found it odd that I had a probability question in there

  25. muhammad9t5
    • 3 years ago
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    yes.

  26. hartnn
    • 3 years ago
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    \(\huge ^nP_r = \dfrac{n!}{(n-r)!}\)

  27. gjhfdfg
    • 3 years ago
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    So basically I had to do the factorial (!) to the 6P & 8P?

  28. muhammad9t5
    • 3 years ago
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    yes.

  29. hartnn
    • 3 years ago
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    \(\huge ^nP_r = \dfrac{n!}{(n-r)!} \\\huge ^6P_4 = \dfrac{6!}{(2)!} \\ \huge 8P_6 = \dfrac{8!}{(2)!}\)

  30. gjhfdfg
    • 3 years ago
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    Everything on the left side of the = is confusing to me

  31. hartnn
    • 3 years ago
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    in the formula of nPr ? its just a formula, so for 6P4, i plugged in n=6 and r=4 in the standard formula.

  32. gjhfdfg
    • 3 years ago
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    How would you know which ones to plug in? Because in one you have 6P4 & in the next 8P6, I don't get how you go to that?

  33. hartnn
    • 3 years ago
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    n is before P , r is after P . in 6P4 , 6 is before P (so, n=6) and 4 is after P (so r=4) does this makes sense ?

  34. gjhfdfg
    • 3 years ago
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    Ah, it does now.! :-) Thanks you guys both for explaining this to me.!

  35. hartnn
    • 3 years ago
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    Thank me when you get to correct answer.

  36. gjhfdfg
    • 3 years ago
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    What do you mean?

  37. hartnn
    • 3 years ago
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    i meant to ask you, whether you could now figure out the answer of that question...

  38. gjhfdfg
    • 3 years ago
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    I do the factorial, 8*7*6*5*4*3*2*1, I thought?

  39. gjhfdfg
    • 3 years ago
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    & then divide my answer by 2?

  40. hartnn
    • 3 years ago
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    thats for 8P2

  41. gjhfdfg
    • 3 years ago
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    Then I'm lost again,

  42. hartnn
    • 3 years ago
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    i never said you are wrong. its just not the final answer.

  43. gjhfdfg
    • 3 years ago
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    Then I do the same with the 6

  44. hartnn
    • 3 years ago
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    6P4 = 6*5*4*3 8P2= 8*7*6*5*4*3 Question asks, 1- 6P4/8P2 = 1- 6*5 / 8*7*6*5 = 1- 1/(8*7) ok ?

  45. gjhfdfg
    • 3 years ago
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    Ah, I wasnt paying attention to the 1,

  46. gjhfdfg
    • 3 years ago
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    Would I have to subtract the 1 from the 6 & start factoring 5?

  47. hartnn
    • 3 years ago
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    no... first division operation is performed, so 6*5*4*3 will get cancelled from numerator and denominator, and what remains is just 1- 1/(8*7) which i've already shown.

  48. gjhfdfg
    • 3 years ago
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    Thats confusing

  49. hartnn
    • 3 years ago
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    ok, clear till this : 6P4 = 6*5*4*3 8P2= 8*7*6*5*4*3

  50. gjhfdfg
    • 3 years ago
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    Got that...

  51. hartnn
    • 3 years ago
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    now divide them 6P4/8P2 =.... ?

  52. gjhfdfg
    • 3 years ago
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    I got 0.0178 etc... Thats not right..

  53. hartnn
    • 3 years ago
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    keep it in fractions..

  54. gjhfdfg
    • 3 years ago
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    I got 360 from 6*5*4*3 & 20160 from the factorial of 8.

  55. gjhfdfg
    • 3 years ago
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    How would I keep it in fractions?

  56. hartnn
    • 3 years ago
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    you can also cancel out like this : |dw:1361120576575:dw| got that ?

  57. gjhfdfg
    • 3 years ago
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    Ah, got it.! I wasnt thinking about canceling out

  58. hartnn
    • 3 years ago
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    ask if any more doubts.

  59. gjhfdfg
    • 3 years ago
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    What happened to the 4 & 2?

  60. hartnn
    • 3 years ago
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    i just realized i mistyped 8P6 (and have written 8P2 instead) 4 and 2 where ?

  61. gjhfdfg
    • 3 years ago
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    The 4 after the P and the 2 after the other P

  62. hartnn
    • 3 years ago
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    oh, we used the formula, right ? 6-4 = 2, so 2! in the denominator 8-6= 2, so 2! in the denominator

  63. gjhfdfg
    • 3 years ago
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    OH.! Ok I get it.!

  64. gjhfdfg
    • 3 years ago
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    1/56 wasnt correct, could it be 55/56 by any chance?

  65. hartnn
    • 3 years ago
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    ?? you forgot '1-...' again ? 1- 1/(7*8)= 1-1/56=(56-1)/56 = 55/56

  66. gjhfdfg
    • 3 years ago
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    *face palm* Thank you.

  67. hartnn
    • 3 years ago
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    welcome ^_^

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