A committee of six people is to be formed from a group of seven men and four women. What is the…
Uniform selection gives \(\binom{11}{6}=462\) possible committees. Exactly two women and four men can be chosen in \(\binom{4}{2}\binom{7}{4}=6\times35=210\) ways, giving…
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A committee of six people is to be formed from a group of seven men and four women. What is the probability that the committee will have exactly two women ?
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Correct answer D
Uniform selection gives possible committees. Exactly two women and four men can be chosen in ways, giving . The probability is , which rounds to at three decimal places and matches none of the numerical alternatives.
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UGC NET Commerce