SOLUTION: A committee of six Congressmen will be selected from a group of four Democrats and seven Republicans. Find the number of ways of obtaining exactly one democrat.
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Question 1162995: A committee of six Congressmen will be selected from a group of four Democrats and seven Republicans. Find the number of ways of obtaining exactly one democrat. Answer by ikleyn(52884) (Show Source):
One democrat can be selected by 4 ways (obviously);
the remaining 5 republicans can be selected by = = 21 ways.
These selections in separate groups are INDEPENDENT --- therefore, the final answer is the product 4*21 = 84.