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 on a committee of which Mr. Y is a number is.
.Firstly- Mr. Y is a member of then Mrs. X refuses to serve as a member, Number of ways=7C3 ×6C3 
Secondary, If Mr. Y is not a member then, Mrs. X may be a member of then. Number of ways =8C3 ×6C4 
=56×15=840 Total number of ways=700+840=1540ways
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