Question

The number of ways in which a mixed doubles tennis game be arranged between 10 players consisting of 6 men and 4 women : 

(a) 90 

(b) 48 

(c) 12 

(d) 180

Answer 1

Correct option (d) 180

Explanation:

Mixed doubles includes 2 men and 2 women. 

Since 2 men are selected of 6 men 

⇒ number of ways = ⁶C₂ 

Also 2 women are selected of 4 women 

⇒ number of ways = ⁴C₂ 

But they also can be interchanged in 2 ways

∴ Total no. of ways