math

Determine , apermutation or combination
1.The winner and second and third placed in contest woth 10 finalists .
2.Selecting nine books to check out of the library from a reading list of twelve .
3.Selecting three of fifteen flavours of ice cream .
4.An arrangement of letters in the word ( aloha ).

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asked by jane
  1. what do you think? Your previous question was just like this, and good solutions were given.

    show us the reasoning behind your choices, and we can fix any mis-steps.

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    posted by Steve
  2. 1.P(10,1)*p(10,2)*p(10.3)
    2.C(12,9)
    3.C(15,3)
    4.5!

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    posted by jane
  3. the question was: choose permutation or combination

    Based on your answers, I'd say you chose P,C,C,P, which is correct.

    However for #1, you have 10 finalists, and you want the number of ways to pick 3 of them. That is just P(10,3), which is in fact 10*9*8 (10!/7!).

    There are 10 ways to wick a winner, leaving just 9 choices for runner-up, and 8 choices for 3rd place.

    Other than that, your answers look good.

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    posted by Steve

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