Eight children are divided into two teams each containing 4 children. how many different divisions are possible?

So this is what's known as a combination. a combination is a group where the order does not matter. to solve a combination, you use this equation:

n! / (r! * (n-r) !)

n is the total number of objects being sorted (8)

r is the group you need to sort them into (4)

(i know it's 2 groups of 4 but if you solve this for 1 group, the other group is automatically made of the remaining kids)

definition of!:

a number with a! means 1*2*3 ... * that number (so that number multiplied by every number smaller than it all the way to one)

so we put 8 and 4 in this equation:

8! / (4! * (8-4) !)

simplify:

8! / * (4! 4!)

multiply out:

(8*7*6*5*4*3*2*1) / (4*3*2*1 * 4*3*2*1)

and put that in your calculator

you will get 70

your answer is 70