A teacher has 20 boys and 10 girls in her class. In how many ways can she select 6 of the children
To be in a play if she must select 3 boys and 3 girls.
A)136,810
B)136,820
C)136,790
D)136,800

Question

Quizplus · Accepted Answer

To select 3 boys out of 20, we can use combinations: 20C3 = 1140
To select 3 girls out of 10, we can use combinations: 10C3 = 120
The total number of ways to select 6 children is the product of these two combinations: 1140 * 120 = 136,800. Therefore, the answer is D. We can solve this problem using combinations. The number of ways to choose 3 boys from 20 is "20 choose 3," or C(20, 3), which is equal to 1140. Similarly, the number of ways to choose 3 girls from 10 is "10 choose 3," or C(10, 3), which is equal to 120. To find the total number of ways to choose 3 boys and 3 girls, we multiply these two numbers together: 1140 x 120 = 136,800. Therefore, the best choice is D.

A Teacher Has 20 Boys and 10 Girls in Her