Question

A committee of 3 ladies and 4 gents is to be formed out of 8 ladies and 7 gents Mrs X refuses to serve in a committee in which Mr.Y is a member the number of such committees is ​

Answer 1

Answer:

8C3×7C4 -7C2×6C3

Step-by-step explanation:

we start by choosing a fair no. of committees.

then we subtract committee which have both X and Y

Answer 2

Answer:

23 because there can be 6 different groups with 3 ladies in each and 4 groups of men with 4 men in each. These 6 groups of women and 4 groups of men are made by permutation and combination.

Step-by-step explanation:

So 6 lady groups and 4 men groups can again form 24 committees

BUT one committee in which Mrs X and Mr Y have to sit is not ok for Mrs X.

Not counting this one committee of all the 24,

we get ANSWER 23.