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anonymous

  • 4 years ago

A student wants to buy 3 cds, but assume 5 cds feature the piano, 6 cds feature the trumpet, and 3 cds feature the saxaphone. I figured there are 364 ways for 3 cd's to be selected. In how many ways can the selection be made if cds featuring at least 2 different instruments are selected?_______________--

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  1. anonymous
    • 4 years ago
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    Moving on to computing probabilities by using equally likely outcomes after this

  2. anonymous
    • 4 years ago
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    haha

  3. anonymous
    • 4 years ago
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    HOLY COW

  4. anonymous
    • 4 years ago
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    How does that happen

  5. anonymous
    • 4 years ago
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    i can copy and paste them

  6. anonymous
    • 4 years ago
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    if you cant see the first part of your solution

  7. anonymous
    • 4 years ago
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    no

  8. Directrix
    • 4 years ago
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    I'll try again. Patience is a good thing. :)

  9. anonymous
    • 4 years ago
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    you dont have to I am considering moving on to some other stuff that i am not sure how to do at all

  10. anonymous
    • 4 years ago
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    nope

  11. anonymous
    • 4 years ago
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    i tried that earlier

  12. Directrix
    • 4 years ago
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    I want to do it. You can move on to another problem while I work on this.

  13. anonymous
    • 4 years ago
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    Your call man i have spent A LOT of time on these 27 questions our exam questions are coming directly from these Homework problems like this

  14. anonymous
    • 4 years ago
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    I will post another shortly im sure

  15. Directrix
    • 4 years ago
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    Here's where I messed up. The problem is at least 2 different instruments are selected? I calculated at least 2 of the SAME instrument.

  16. anonymous
    • 4 years ago
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    yes that is correct

  17. anonymous
    • 4 years ago
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    i need to sign off for a moment bu i will be back in 5-10 mins at the most

  18. Directrix
    • 4 years ago
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    Okay, no rush. I just cleaned up my work area for my next take on this problem.

  19. anonymous
    • 4 years ago
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    im back around

  20. Directrix
    • 4 years ago
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    P = Piano, S = Sax, T = Trumpet Of the 3 cds we are buying, 2 could be of the same instrument and 1 of another instrument. I see the following cases: PPT, PTT and PPS, PSS, and TTS, TSS. Do you see others before we calculate?

  21. anonymous
    • 4 years ago
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    I don't

  22. Directrix
    • 4 years ago
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    PPT, PTT PPT==> C(5,2) times C(6,1) = 60 PTT ==> C(5,1) times C(6,2) = 75 Subtotal 1: 135 (Not Finished)

  23. Directrix
    • 4 years ago
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    PPS, PSS PPS ==>C (5,2) times C (3,1) = 30 PSS ==> C(5,1) times C(3,2) = 15 Subtotal 2: 45 (Not Finished)

  24. Directrix
    • 4 years ago
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    TTS, TSS TTS==> C(6,2) times C(3,1) = 45 TSS ==> C(6,1) times C(3,2) = 18 Subtotal 3: 63 (Not Finished)

  25. Directrix
    • 4 years ago
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    Answer: Total of Subtotals of cases: 135 + 45 + 63 = 243 ways.

  26. Directrix
    • 4 years ago
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    CW, what about this answer of 243?

  27. anonymous
    • 4 years ago
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    no it didnt work

  28. Directrix
    • 4 years ago
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    What did we miss? By the way, is 314 the answer? I don't think so but tried something different.

  29. anonymous
    • 4 years ago
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    no

  30. Directrix
    • 4 years ago
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    We missed the case where all three are different such as P T S

  31. anonymous
    • 4 years ago
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    hmmm

  32. Directrix
    • 4 years ago
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    PTS C(5,1) times C(6,1) times C(3,1) = 90

  33. Directrix
    • 4 years ago
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    So, the corrected answer is the Answer: Total of Subtotals (exactly 2 different cases plus all 3 differnt: : 135 + 45 + 63 + 90 =333. Answer:333

  34. Directrix
    • 4 years ago
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    Bad news, CW?

  35. anonymous
    • 4 years ago
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    what?

  36. Directrix
    • 4 years ago
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    The answer -- 333. Right or wrong.

  37. anonymous
    • 4 years ago
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    right hahaha

  38. anonymous
    • 4 years ago
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    awesome man

  39. anonymous
    • 4 years ago
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    ly cow

  40. anonymous
    • 4 years ago
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    holy

  41. Directrix
    • 4 years ago
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    Sure it's right? There may be another case out there, and we'll find it.

  42. anonymous
    • 4 years ago
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    no that is correct

  43. Directrix
    • 4 years ago
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    Okay, where are the other problems? "I will post another shortly im sure" you said.

  44. anonymous
    • 4 years ago
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    yea i will in a moment

  45. anonymous
    • 4 years ago
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    they are a different section

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