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The student governing board at Milton University consists of 7 members: Andy, Bill, Cathy, David, Evelyn, Frank, Gina. List and count the different ways of

The student governing board at Milton University consists of 7 members: Andy, Bill, Cathy, David, Evelyn, Frank, Gina. List and count the different ways of electing each of the following: A president and a secretary if one person can hold both offices A president and a secretary if the president must be a female A president and a secretary if the two officers must not be the same sex A president, a secretary, and a treasurer A president, a secretary, and a treasurer, if the president must be a man and the other two must be women A president, a secretary, and a treasurer, if the secretary must be a woman and the other two must be men

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