1. Tardigrade
  2. Question
  3. Mathematics
  4. In a class, there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the class for a function. In how many ways can the teacher make this selection?

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

Permutations and Combinations

Solution:

Here the teacher is to perform two operations:
(i) Selecting a boy from among the $27$ boys and
(ii) Selecting a girl from among $14$ girls.
The first of these can be done in $27$ ways and second can be performed in $14$ ways. By the fundamental principle of counting, the required number of ways is $27 \times 14 = 378$.