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Discrete math we have a club consisting of 6 distinct men and 5 distinct women d. In how many ways can we select a committee

Discrete math

we have a club consisting of 6 distinct men and 5 distinct women

d. In how many ways can we select a committee of five persons that has at least two women?

e. Club members Jana and Ben are in a relationship. In how many ways can we select a committee of five persons so that Jana and Ben serve together?

f. Jana and Ben have had a fight and do not want to serve on the committee together, so in how many ways can we select a committee of five that do not contain BOTH Jana and Ben?

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