# Math Help - Combination or permutation? Am I doing it wright?

1. ## Combination or permutation? Am I doing it wright?

12 players of a softball team show up for a game:
Of the 12 people who show up, 2 are women.
How many ways are there to choose 10 players to take the field (disregarding
positions
) if at least one of these players must be women?

combination permutation

I think it's a combination C(11,9)*C(2,1)=55*2

2. ## Re: Combination or permutation? Am I doing it wright?

Originally Posted by SillyMath
12 players of a softball team show up for a game:
Of the 12 people who show up, 2 are women.
How many ways are there to choose 10 players to take the field (disregarding
positions
) if at least one of these players must be women?

combination permutation
I think it's a combination C(11,9)*C(2,1)=55*2
I don't think so. Try $\binom{12}{10}-\binom{10}{10}.$