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The number of ways in which a committee of 3 ladies and 4 gentlemen can be appointed out of 8 ladies and 7 gentlemen. If Mrs. X refuses to serve in a committee of which Mr Y is a member, is
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Explanation:
Firstly, Mr Y is a member, then Mrs X refuses to serve as a member.
Number of ways = 7C3×6C3
= 35×20=700
Secondly, if Mr Y is not a member, then Mrs X may be a member, then
Number of ways = 8C3×6C4
= 56×15=840
Therefore, Total number of ways = 700 + 840 = 1540 ways