Question

7 members have to be selected from 12 men and 3 women, such that no two women can come together. in how many ways we can select them?

Answer 1

select any 2 women and 5 men

Answer 2

7 members but no two women

⇒ 6 men and 1 women

Number of ways to select the men = 7C6 = 7 ways

Number of ways to select a woman = 3C1 = 3 ways

Total number of ways = 7 x 3 = 21

Answer: There are 21 ways to choose the team.