# Question

Among the seven nominees for two vacancies on a city council are three men and four women. In how many ways can these vacancies be filled

(a) With any two of the seven nominees;

(b) With any two of the four women;

(c) With one of the men and one of the women?

(a) With any two of the seven nominees;

(b) With any two of the four women;

(c) With one of the men and one of the women?

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