A committee of four congressmen will be selected from a group of five Republicans and two Democrats. Find the number of ways of obtaining a committee with exactly three Republicans.?
Number of ways to select the committee of four such that there are exactly three Republicans is computed here as:
= Number of ways to select 3 republicans from the five republicans * Number of ways to select 1 democrat from the two democrats
Therefore there are 20 ways here to form the committee
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