Question

In how many ways can 4 ladies and 4 men form two mixed doubles teams for a tennis match

Answer 1

2 women and 2 men in
4c2*×4c2 = 36 ways 

and pair them in 2 ways to get ans = 72

Answer 2

Answer:

In 72 ways a team can be formed.

Step-by-step explanation:

Given:  

4 ladies and 4 men

We need to find the number of ways by which two mixed doubles teams can be formed for a tennis match.

The combination can be given as follows:  

4 ladies and 4 men = 4C2 x 4C2 = 36  

That is the combination 4C2 can be expand as  (4×3)/(2×1) x (4×3)/(2×1)

Hence, we can arrive at a conclusion that each group given by the 2 teams: 36 x 2 = 72