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11) A club with 10 students elects 4 class officers (president, vice president, secretary and treasurer). No student can hold more than one position. a)

11) A club with 10 students elects 4 class officers (president, vice president, secretary and treasurer). No student can hold more than one position.

a) How many ways are there to select the class officers?

b) Suppose there are five girls and five boys in the club. How many ways are there to elect the officers if the president is a girl?

c) Suppose there are five girls and five boys in the club. How many ways are there to elect the officers if the president is a girl and the VP is a boy?

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