First slide

Combinations

Question

The number of ways in which a committee of 3 women and 4 men be chosen from 8 women and 7 men if Mr. $X$ refuses to serve on the committee if Mr. $Y$ is a member of the committee is

Moderate

A

420
B

840
C

1540
D

1400

Solution

Women can be chosen in ${}^{8}{C_{3}}$ ways and men in $^{7} C_{4} -^{5} C_{2}$

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