SOLUTION: A committe consists of 11 Republicans and 17 Democrats. How many different sumbcomittees of 5 can be formed if the subcomittee must consist of 3 Republicans and 2 Democrats?

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Question 946343:

A committe consists of 11 Republicans and 17 Democrats. How many different sumbcomittees of 5 can be formed if the subcomittee must consist of 3 Republicans and 2 Democrats?
Answer by mathmate(429) About Me  (Show Source):
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Given
Committee has 11 Republicans and 17 Democrats.
Find number of subcommittee consisting of 3 Republicans and 2 Democrats.

Solution
Number of ways to choose 3 Republicans out of 11 = 11C3 = 11%21%2F%283%218%21%29+=+165
Number of ways to choose 2 Democrates out of 17 = 17C2 = 17%21%2F%282%2115%21%29+=+136+
Number of ways to form the subcommittee = 165+%2A+136+=+22440

Answer
There are 22440 ways to form the subcommittee.