Question 281338: There is a class of 20 with 13 boys and 7 girls.
A) how many ways are there to form a committee of 3 boys and 3 girls?
B) A committee will be formed by randomly selecting 6 persons. what is the probability that the committee will have 3 boys and 3 girls
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! There is a class of 20 with 13 boys and 7 girls.
A) how many ways are there to form a committee of 3 boys and 3 girls?
Picking 3 boys: 13C3
Picking 3 girls: 7C3
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# of ways to form the committee:
Multiply the two numbers to get: 10,010
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B) A committee will be formed by randomly selecting 6 persons. what is the probability that the committee will have 3 boys and 3 girls
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# of possible 6-member committees: 20C6 = 38,760
P(3 boys and 3 girls) = 10,010/38,760 = 0.2583
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Cheers,
Stan H.
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