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

• A. 420
• B. 840
• C. 1540
• D. 1400

Answer 1

The correct option is D 1400

The no.of ways of seleting 3 womes is ${}^8{C}_3$ Men selection both x, y are excluded = ${}^5{C}_4$ Only x is included = ${}^5{C}_3$ Only y is included = ${}^5{C}_3$ Hence the no.of ways is ${}^8{C}_3\{{}^5{C}_4+2{\times }^5{C}_3\}=1400$