Question

A tennis club consists of 12 boys and 9 girls. How
many mixed doubles teams (one boy and one girl) are
possible ? In how many ways can a mixed double
match be arranged ?​

Answer 1

Answer:

9 team are arranged as doubles

Answer 2

The mixed doubles can be arranged in 108 ways.

Given:

Total number of boys = 12

Total number of girls = 9

To find:

In how many ways can a mixed double match be arranged?​

Solution:

For the first team member which is the boy,

Total possibilities = 12

Similarly

For the second team member which is the girl -

Total possibilities = 9

The arrangement as to how both boys and girls can be arranged -

Possibility of boys x Possibility of girls

= 12 x. 9

= 108

Answer: The mixed doubles can be arranged in 108 ways.

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