230k views
20 votes
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?

2 Answers

6 votes

Explanation:

1.they should divide each person into 3 teams

User Rias
by
7.2k points
4 votes

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!

User Abiola
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories