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How many different governments are possible

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A school is forming a student government. The government will have 13 members. There are 10 grade nine students, 15 grade ten students, 12 grade eleven students, 18 grade 12 students, and 5 teachers interested in being on the government.

a. How many different governments are possible?

b. How many different governments are possible if there must be two teachers on the government?

c. How many governments are possible if there is 1 teacher, and 3 students from each grade?

Reference no: EM132227879

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