SOLUTION: A political polling organization wishes to select a smaller focus group from a group of of 10 Republicans, 4 Democrats, and 1 Independents. In how many ways can the group be chosen

Question 666398: A political polling organization wishes to select a smaller focus group from a group of of 10 Republicans, 4 Democrats, and 1 Independents. In how many ways can the group be chosen under each of the following conditions.
a) It must consist of 4 Republicans and 2 Democrats?
b) It must consist of 1 Republican, 4 Democrats, and 1 Independent?
Answer by swincher4391(1107) (Show Source): You can put this solution on YOUR website!
Choose 4 republicans and 2 democrats: (10 choose 4) *(4 choose 2) = 1260 ways
Choose 1 republican, 4 democrats, 1 independent: (10 choose 1) * (4 choose 4) * (1 choose 1) = 10 * 1* 1= 10 ways

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