Question

A committee of 4 persons is to be formed from 2 ladies, 2 old men and 4 young men such that it includes at least 1 lady, at least 1 old man and at most 2 young men. Then the total number of ways in which this committee can be formed is

(A) 40

(B) 41

(C) 16

(D) 32

Answer 1

Correct Answer is: (B) 41

Total number of ways

= (2C2 × 2C2 × 4C0 ) + 2 (2C1 × 2C2 × 4C1 ) + (2C1 × 2C1 × 4C2 )

= 1 + 2(8) + 24 = 41