In how many ways can a committee of 6 members, consisting of 4 men and 2 women, be selected from 8 men…
The committee can be selected in 1050 ways. The 4 men can be chosen from 8 in \({}^{8}C_{4} = 70\) ways and the 2 women from 6 in \({}^{6}C_{2} = 15\) ways, and the two…
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In how many ways can a committee of 6 members, consisting of 4 men and 2 women, be selected from 8 men and 6 women?
Answer and explanation
Correct answer A
The committee can be selected in 1050 ways. The 4 men can be chosen from 8 in ways and the 2 women from 6 in ways, and the two choices are independent, so the total is 70 × 15 = 1050. The other values are not products of these two counts.
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Common Management Admission Test (CMAT)