From 8 boys and 5 girls a delegation of 5 students is to be formed Find the number of ways this can be done such that delegation must contain exactly 3 girls:

Using the method of combinations, we must select exactly 3 girls out of 5 and exactly 2 boys out of 8 to form the 5-student delegation. The number of ways to choose the girls is 5C3 = 10, and the number of ways to choose the boys is 8C2 = 28. We multiply these separate selections to find the total ways, which is 10 * 28 = 280.

• Thanks
• Wrong explanation