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?

Given: 27 boys and 14 girls


We have to select one boy from 27 boys and one girl from 14 girls.


Therefore, a number of ways to select one boy are 27C1 and similarly the number of ways to select one girl is 14C1.


Hence the number of ways to select 1 boy and 1 girl to represent the class in a function is 14C1×27C1 = 14 × 27 = 378


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