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Question

Question: The number of ways in which a mixed doubles tennis game be arranged between 10 players consisting of...

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

A

180

B

90

C

48

D

12

Answer

180

Explanation

Solution

Selection of two men = 6C2 = 15

Selection of two women = 4C2 = 6

Each selection of 2 men and 2 women gives 2 mixed games.

Total ways = 15 × 6 × 2 = 180