Symbiosis National Aptitude Test SNAP 2013 Paper

Question : 25 of 150

Marks: +1, -0

The number of ways in which a committee of 3 ladies and 4 gentlemen can be appointed from a meeting consisting of 8 ladies and 7 gentlemen, if Mrs. X refuses to serve in a committee if Mr. Y is its member, is

1960
3240
1540
None of these

Validate

Solution:

3 ladies can be appointed out of 7 ladies as 1 is not including in

\,↖{7}C_3

ways.
Also, 3 gentlemen can be appointed out of 6 gentlemen as 1 is already member in

\,↖{6}C_3

ways.
Hence the required number of ways
=

\,↖{7}C_3×\,↖{6}C_3

= 700

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