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in Statistics and probability by (54.8k points)

From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woman. Then the probability for these committees to have more women than men is 

(A) 1/11

(B) 21/220

(C) 2/23

(D) 3/11

1 Answer

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Best answer

Answer is (A) 1/11

We have

The number of ways to form a committee having more women than men is

Therefore, the probability for thee committees to have more women than men is

105/1155 = 1/11

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