in how many ways can a choreographer select at most 10 of his talents to act in a stage play?

1 answer

Depends on how many talents he has to chose from. If he has 10 talents, then there are 2^10 ways to select none up to all of them.

Otherwise, if he has n talents to choose from, that would be

10
∑ C(n,k)
k=0

which is a polynomial of degree 10