SOLUTION: Daniel coaches a basketball team and he knows he can only play 5 players at a time. If his team has 15 players. Determine how many different teams of 5 Coach Daniel can play.

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Question 1118474: Daniel coaches a basketball team and he knows he can only play 5 players at a time. If his team has 15 players. Determine how many different teams of 5 Coach Daniel can play.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
It is 15C5
This is 3003.
15!/5!10! Notice that the sum of the bottom numbers equals the top number, but do NOT add them.
15!=15*14*13*12*11*10! (I can put the factorial after any number, but 10 is convenient here.
5!10! is 5*4*3*2*1*10!
Notice that the 10! cancel each other
The answer is 15*14*13*12*11/5*4*3*2*1=3003