Seven women and nine men are on the faculty in the mathematics department at a school a How many ways are there to select a

Question

Seven women and nine men are on the faculty in the mathematics department at a school a How many ways are there to select a committee of five members of the department if at least one woman must be on the committee b How many ways are there to select a committee of five members of the department if at least one woman and at least one man must be on the committee

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