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 http://upload.wikimedia.org/wikipedi...ecd11247f1.png permutation http://upload.wikimedia.org/wikipedi...d3d703102d.png

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

Is 110 ways the answer?

Quote:

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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 http://upload.wikimedia.org/wikipedi...ecd11247f1.png permutation http://upload.wikimedia.org/wikipedi...d3d703102d.png
I think it's a combination C(11,9)*C(2,1)=55*2
Is 110 ways the answer?

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I don't think so. Try