# 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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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.

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posted by Steve

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