Question:medium
If six persons are to be selected to form a committee from a group of seven women and four men so that at least three women are there on the committee, then the number of ways it can be done, is
If six persons are to be selected to form a committee from a group of seven women and four men so that at least three women are there on the committee, then the number of ways it can be done, is
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Logic Tip: A faster way using complements: Calculate total unrestricted combinations ($^{11}C_6 = 462$) and subtract the invalid cases. The only invalid cases are those with fewer than 3 women: 2W/4M ($^7C_2 \cdot ^4C_4 = 21 \cdot 1 = 21$). $462 - 21 = 441$.
Updated On: Apr 27, 2026
- 641
- 545
- 591
- 441
- 139
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The Correct Option is D
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