SOLUTION: From a group of 15 females and 10 males, a 6-member team will be selected to represent their school at a science fair. How many teams of 6 could have at least 5 females?

Question 668531: From a group of 15 females and 10 males, a 6-member team will be selected to represent their school at a science fair. How many teams of 6 could have at least 5 females?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
What this question boils down to is if we have a group of 6, how many teams can we either have 5 females or 6 females?
The only possibilities are if we have 5 females, 1 male or 6 females, 0 males.
N[5 females] + N[6 females] = (15 choose 5)(10 choose 1) + (15 choose 6)(10 choose 0) = 35035
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