Question

twenty-four girls are trying out for 12 spots on the cheerleading team. if you want to determine how many different groups of 12 girls can be created

Answer 1

We are simply trying to select any 12 girls from the 24 girls.

Here the order in which the 12 girls are arranged does not matter.

So this is a combination problem.

So the answer is 24 combination 12.

24 Combination 12 = 24! / ((24 - 12!)12!)

= 24! / ( (12!)12!)

= 24*23* 22*21*20*19*18*17*16*25*14*13*12! / (12!12!)

= 24*23* 22*21*20*19*18*17*16*25*14*13 / 12!

Use a calculator.

= 2704156 different groups