In how many of these committees the women are in majority?
A
2000
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B
2700
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C
2705
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D
2702
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E
None of these
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Solution
The correct option is D 2702
Women are in majority in (iii), (iv) and (v) cases. ∴ Total number of such committees =9C7×8C5+9C8×8C4+9C9×8C3=36×56+9×70+1×56 = 2016 + 630 + 56 = 2702