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A state legislature consists of 5 Democrats, 4 Republicans, and 7 Independents. How many ways are there to choose: a. A committee of 6 legislators?

A state legislature consists of 5 Democrats, 4 Republicans, and 7 Independents. How many ways are there to choose: a. A committee of 6 legislators? b. A speaker, a vice-speaker, and a sergeant at arms? c. A committee of 6 legislators where 2 are Republicans, and 2 are Democrats, and 2 are Independents? d. A committee of 6 legislators, with no Independents?

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