2. At the end of a math contest, each team must select two students to take part in the countdown round. As a math

team coach, you decide to randomly select two students from your team. You would prefer that the two students

selected consist of one girl and one boy. Would you prefer to select your two students from a team of 6 girls and

6 boys or a team of 5 girls and 5 boys? Show your calculations, and explain how you reached your conclusion.

Step-by-step explanation:

Given that at the end of a math contest, each team must select two students to take part in the countdown round. As a math

team coach, you decide to randomly select two students from your team. You would prefer that the two students

selected consist of one girl and one boy.

If we have 6 girls and 6 boys, one girl can be selected in 6 ways and one boy also in 6 ways

No of ways = 36

Instead, If we have 5 girls and 5 boys, one girl can be selected in 5 ways and one boy also in 5 ways

No of ways = 25

First group is better as we have more choices to select the best one from each set of girl and a boy.