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The number of ways in which a committee of 3 women and 4 men be chosen from 8 women and 7 men if Mr. X refuses to serve on the committee if Mr. Y is a member of the committee is

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a
420
b
840
c
1540
d
1400

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detailed solution

Correct option is D

Women can be chosen in C3  8 ways and men in  7C4−5C2


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