A select group of 4 is to be formed from 8 men and 6 women in such a…

Question

A select group of 4 is to be formed from 8 men and 6 women in such a way that the group must have at least 1 women. In how many different ways can it be done ?

Accepted Answer

Option C. 931. Answer & Solution Answer: Option C Solution: Required number of ways = ( ^6C_1 × ^8C_3 ) + ( ^6C_2 × ^8C_2 ) + ( ^6C_3 × ^8C_1 ) + ( ^6C_4 × ^8C_0 ) = \ 6 × 8 × 7 × 63 × 2 × 1 \ + ( 6 × 52 × 1 × 8 × 72 × 1 ) + ( 6 × 5 × 43 × 2 × 1 × 8 ) + ( ^6C_2 × 1 ) = \ 6 × 8 × 7 × 63 × 2 × 1…