In a club with 7 male and 10 female members, how many 5-member committees can be chosen that have (a) all men? (b) all women? (c) 3 men and 2 women?
Added by Ella R.
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This can be done using combinations. The number of ways to choose 5 men from 7 is given by ${7 \choose 5}$. Show more…
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