It is currently 17 Nov 2017, 21:40

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Dividing a team

Author Message
SVP
Joined: 16 Oct 2003
Posts: 1798

Kudos [?]: 173 [0], given: 0

### Show Tags

30 Aug 2004, 13:46
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Here are two question which I was having problem with and AkamaiBrah explained it well. Please try

1. In how many ways can 12 students be partitioned into 3 teams, A, B, and C, so that each team contains 4 students?

2. In how many ways can 12 students be divided into 3 teams of 4 people each?

Kudos [?]: 173 [0], given: 0

Intern
Joined: 10 Aug 2004
Posts: 40

Kudos [?]: 1 [0], given: 0

### Show Tags

30 Aug 2004, 13:55
12C4+8C4+4C4

495+70+1

566

Kudos [?]: 1 [0], given: 0

Senior Manager
Joined: 25 Jul 2004
Posts: 272

Kudos [?]: 11 [0], given: 0

### Show Tags

30 Aug 2004, 14:03
There is a subtly here,

In the first one, the answer is 12C4 * 8C4 * 4C4

How many ways you can pick 4 for team A, times the ways you can pick 4 for team B, times the ways you can pick 4 for team C.

In the second one, the teams are unnamed, hence the following assignment

p1 p2 p3 p4 p5 p6 p7 p8 p8 p10 p11 p12

is the same as

p5 p6 p7 p8 p8 p10 p11 p12 p1 p2 p3 p4

so you need to divide the result of the first question by 6, to account for all the sequences that give you the same result.

Kudos [?]: 11 [0], given: 0

Intern
Joined: 10 Aug 2004
Posts: 40

Kudos [?]: 1 [0], given: 0

### Show Tags

30 Aug 2004, 14:07
SigEp....does *=multiplication? Wouldn't you add the combinations together?

Kudos [?]: 1 [0], given: 0

Senior Manager
Joined: 25 Jul 2004
Posts: 272

Kudos [?]: 11 [0], given: 0

### Show Tags

30 Aug 2004, 16:08
Definately Multiple. For each assignment to the first group, you multiply by the ways you can form the second (and so on) groups.

Kudos [?]: 11 [0], given: 0

30 Aug 2004, 16:08
Display posts from previous: Sort by

# Dividing a team

Moderator: chetan2u

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.