Question

Nine friends want to play a game. They must divide into three teams, with three people on each team. In how many ways can they do it?

Answer 1

Explanation:

1.they should divide each person into 3 teams

Answer 2

Answer: 280

Step-by-step explanation: So you have 9 people. One out of those 9 people could go in any of the spots for participants. You could start off with 9*8*7 because you want to work your way down and it doesn't matter which order but just the number of people in each group. 9*8*7 is one group, 6*5*4 is the second group and 3*2*1 is the third group. Now, you want to take each of those equations and divide them by 3!. You do this because there are 3 teams and 9 people are being distributed between them.

9*8*7 6*5*4 3*2*1

-------- = 84 ----------- =20 and ----------- =1

3! 3! 3!

Now that you have 84, 20 and 1, you multiply them and once again divide the product by 3! or cancel. You will get 14*20*1 =280

Hope it helps!