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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 -

Given:

27 boys and 14 girls.

Here the teacher hasto

(i) Select a boy among27 boys, and

(ii) Select a girlamong 14 girls.

Number of ways toselect one boy is 27C1 and similarly the numberof ways to select one girl is 14C1.

Hence, the number ofways to select 1 boy and 1 girl to represent the class in a function is

14C1 × 27C1 =14 × 27 = 378 ways.

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