SOLUTION: A local election will be held with 12 candidates running for a new county governing board. Four candidates will be elected to the board. Of the 12 running, 6 are Democrats, 4 are

Question 1123858: A local election will be held with 12 candidates running for a new county governing board. Four candidates will be elected to the board. Of the 12 running, 6 are Democrats, 4 are Republicans, and 2 are Independents. What is the probability of electing all Democrats to the board?
Answer by ikleyn(52793) (Show Source): You can put this solution on YOUR website!
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With 12 candidates, there are   =  = 495  ways to form different groups of 4 persons.


With 6 Democrats, there are   =  = 15  ways to form different groups of 4 persons.


The probability under the question is the ratio of these two numbers, i.e.   =  = 0.03030 = 3.03%.

Solved.

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