Mathematics 2014 JAMB Past Questions - Question 48: In how many ways can a team of 3 girls be selected from 7 girls?

Correct Answer

D

Explanation

A team of 3 girls can be selected from 7 girls in sup7 Csub3= 7! / (7-3)!3!= 7! /4!3! waysTo determine the number of ways to select a team of 3 girls from a group of 7 girls, we can use the concept of combinations.The number of ways to select a team of 3 girls from 7 girls can be calculated using the formula for combinations:C(n, r) = n! / (r!(n-r)!)where n is the total number of girls and r is the number of girls to be selected.In this case, n = 7 (total number of girls) and r = 3 (number of girls to be selected).Plugging in the values, we have:C(7, 3) = 7! / (3!(7-3)!)Simplifying further:C(7, 3) = 7! / (3! * 4!)Using the factorial notation, we have:C(7, 3) = (7 * 6 * 5 * 4!) / (3! * 4!)The 4! terms cancel out:C(7, 3) = (7 * 6 * 5) / (3 * 2 * 1)Simplifying the expression:C(7, 3) = 35Therefore, there are 35 ways to select a team of 3 girls from a group of 7 girls.