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    Question

    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. 
    A 1346 Correct Answer Incorrect Answer
    B 1274 Correct Answer Incorrect Answer
    C 1540 Correct Answer Incorrect Answer
    D 1536 Correct Answer Incorrect Answer

    Solution

    .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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