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):
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