The Senate in a certain state is comprised of 57 Republicans, 42 Democrats, and 1 Independent. How many committees can be formed if each committee must have 3 Republicans and 2 Democrats? committees can be formed.
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There are 57 Republicans, so we can choose 1 Republican in 57 ways. Similarly, there are 42 Democrats, so we can choose 1 Democrat in 42 ways. Now, we have 56 Republicans and 41 Democrats left. We can choose any number of them to be in the committee. For each Show more…
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