SOLUTION: A city council consists of seven Democrats and seven Republicans. If a committee of six people is selected, find the probability of selecting four Democrats and two Republicans.
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-> SOLUTION: A city council consists of seven Democrats and seven Republicans. If a committee of six people is selected, find the probability of selecting four Democrats and two Republicans.
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Question 1134901: A city council consists of seven Democrats and seven Republicans. If a committee of six people is selected, find the probability of selecting four Democrats and two Republicans. Answer must be a fraction. Answer by ikleyn(52790) (Show Source):
1. You can select 4 Dems from 7 Dems by = = 35 ways.
2. You can select 2 Resp from 7 Resp by = = 21 ways.
3. You can combine the choices from n.1 and from n.2 INDEPENDENTLY.
Therefore, based on Fundamental Counting Principle, the total number of choices is the product 35*21 = 735. ANSWER
