SOLUTION: How many ways are there to assign 10 positions by selecting from 15 players?

Question 527586: How many ways are there to assign 10 positions by selecting from 15 players?
Found 2 solutions by solver91311, edjones:
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

That depends. Are all 15 players equally adept at any of the 10 positions? The question becomes does order matter, which is to say is Pat in position 1 and Sandy in position 2 a different outcome than Sandy in position 1 and Pat in position 2?

If yes, then the answer is the number of permutations of 15 things taken 10 at a time:

If no, then the answer is the number of combinations of 15 things taken 10 at a time:

You can do your own arithmetic.

John

My calculator said it, I believe it, that settles it

Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
nCr=10C15=15!/(15-10)!*10!=3,003
.
Ed
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