The number of ways of choosing a committee from four men and six women so that the committee includes at least two men and exactly twice as many women as men is

Question

The number of ways of choosing a committee from four men and six women so that the committee includes at least two men and exactly twice as many women as men is, 90, 92, 94, 96

MARKS App · Accepted Answer

4 men, 6 women All possible cases for committee are ( 2 men, 4 women ) , ( 3 men, 6 women ) Total ways = 4 C 2 · 6 C 4 + 4 C 3 · 6 C 6 = 6 × 15 + 4 × 1 = 94

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