Question

If a family has 6 children, in how many ways could the parents have 3 boys and 3 girls?

Answer 1

The parents could have 3 boys and 3 girls in 400 ways

How to determine the number of ways?

The given parameters are

Children, n = 6

Boys, r = 3

Girls, r =3

The number of combination is:

$Ways = ^nC_{r1} *^nC_{r2}$

So, we have:

$Ways = ^6C_3 *^6C_3$

Apply the combination formula

$Ways = \frac{6!}{3!3!} *\frac{6!}{3!3!}$

This gives

Ways = 400

Hence, the parents could have 3 boys and 3 girls in 400 ways

Read more about combination at:

brainly.com/question/11732255

#SPJ1