Question

In how many ways can we choose 7 members from 5 men and 4 women such that the number of women can only be the multiple of 2?
1. 15
2. 10
3. 16
4. 20
5. None of these

Answer 1

Correct Answer - Option 3 : 16

GIVEN:

⇒ Total members = 7 members

⇒ Men = 5

⇒ Women = 4

CALCULATION:

Possible cases:

1) 5 men and 2 women.

2) 3 men and 4 women.

⇒ ⁵C₅ x ⁴C₂ + ⁵C₃ x ⁴C₄

⇒ Possible combination = 16