How many different groups of three kids can you make from seven kids?

35
210
6
24

Question

How many different groups of three kids can you make from seven kids?

35
210
6
24

anonymous · Answer

Help please.

anonymous · Answer

210 different groups.

So, you can have something like...

(7 possible kids for the first option) x (6 possible kids for the first option) x (5 possible kids for the first option)

Because you can't have the same kid three times. This is why you don't do 7 x 7 x 7. It has to decrease by one kid every time to show that you can't use the same kid twice to make a group because then it wouldn't be a group of three.

If you draw out a tree diagram, it'd make more sense, but it'd be unreasonable to make a tree with 210 branches. Heh.