Symbiosis National Aptitude Test SNAP 2012 Paper

Question : 29 of 150

Marks: +1, -0

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

1,540
1,960
3,240
None of these

Validate

Solution:

Case I : When Y is a member.
then no. of ways =

\,↖{6}C_3×\,↖{7}C_3

= 20 × 35 = 700
Case II : When Y is not a member.
then no. of ways =

\,↖{6}C_4×\,↖{8}C_3

= 15 × 56 = 840
∴ Total no. of ways = 700 + 840 = 1540

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