A teacher has 12 boys and 19 girls in her class. In how many ways can she select 8 of the children to be in a play if she must select 4 boys and 4 girls.

Question

Quizplus · Accepted Answer

The number of ways to choose 4 boys from 12 is C(12,4) = 495, and the number of ways to choose 4 girls from 19 is C(19,4) = 3,876. The total number of ways to select 4 boys and 4 girls is 495 * 3,876 = 1,918,620.

A Teacher Has 12 Boys and 19 Girls in Her