Question

In a class, there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class in a function. In how many ways can the teacher make this selection?

Answer 1

Given as

27 boys and 14 girls.

Now, here the teacher has to

(i) Firstly, select a boy among 27 boys, and

(ii) Secondly, select a girl among 14 girls.

The number of ways to select one boy is ²⁷C₁ and similarly the number of ways to select one girl is ¹⁴C₁.

Thus, the number of ways to select 1 boy and 1 girl to represent the class in a function is

¹⁴C₁ × ²⁷C₁ = 14 × 27 = 378 ways.