Question

List all the different combinations of girls and boys that can occur in a three-child family. Use "G" to represent a girl and "B" to represent a boy.

Answer 1

There are four different combinations that can occur this way. They are;

BBB

GGG

BBG

GGB

Explanation:

To obtain this result, we work with the combination rule which explains that the total number of combinations for a set with x elements is given by the formula;

2^ˣ

In the question above we have two sets of elements, namely, boys and girls. So, the total number of combinations we can get when this rule is obeyed is given by;

2^²

=4

Therefore, we can have three boys(BBB), three girls(GGG), two boys and one girl(BBG), and two girls and one boy(GGB).