SOLUTION: From a group of 12 people I am to form 4 teams of 3 players each. In how many ways can this be done. (This is closely related to the previous problem, but note that the teams are n

Question 495631: From a group of 12 people I am to form 4 teams of 3 players each. In how many ways can this be done. (This is closely related to the previous problem, but note that the teams are not ordered.
I tried doing (12x11x10x9)/(3x2x1)
and
12!/4!3!
but both are wrong
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
From a group of 12 people I am to form 4 teams of 3 players each. In how many ways can this be done.
---
# of ways to form the 1st team of 3: 12C3 = (12*11*10)/(1*2*3) = 220 ways
---
# of ways to form the 2nd team: 9C3 = (9*8*7)/(1*2*3) = 84 ways
---
# of ways to form the 3rd team: 6C3 = (6*5*4)/(1*2*3) = 20 ways
---
# of ways to form the 4th team: 3C3 = 1 way
------------------------------------------------
Total # of ways: 220*84*20*1 = 369,600
===========
Cheers,
Stan H.
RELATED QUESTIONS
15 basketball players are to be drafted by 3 professional teams (A,B,C). Each team will... (answered by Edwin McCravy)

In how many different ways can teams of 2 tennis players be selected from a group of 5... (answered by stanbon)

I need help in these two problems: Problem#1 A group of 3 students is to be selected... (answered by stanbon)

Twelve hockey players are going to be divided into two teams of six in such a way that... (answered by stanbon)

From a group of 5 boys and 4 girls, a party of 5 people is to be chosen.In how many ways... (answered by ewatrrr)

How many ways can two teams of 4 players be chosen from 10... (answered by sudhanshu_kmr)

There are 10 first-tier national rugby union teams. (a) How many different two-team... (answered by scott8148)

I am sorry for the duplicate post. This is an important concept that I can't seem to... (answered by stanbon)

An election ballot asks voters to select 6 city commissioners from a group of 12... (answered by nyc_function)