Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 29 May 2017, 23:33

### 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

# How many different groups of 3 people can be formed from a

Author Message
TAGS:

### Hide Tags

Intern
Joined: 06 Oct 2010
Posts: 40
Followers: 0

Kudos [?]: 24 [0], given: 29

How many different groups of 3 people can be formed from a [#permalink]

### Show Tags

10 Oct 2010, 14:19
00:00

Difficulty:

5% (low)

Question Stats:

92% (01:14) correct 8% (00:25) wrong based on 115 sessions

### HideShow timer Statistics

How many different groups of 3 people can be formed from a group of 5 people?

A. 5
B. 6
C. 8
D. 9
E. 10
[Reveal] Spoiler: OA
Retired Moderator
Joined: 02 Sep 2010
Posts: 803
Location: London
Followers: 111

Kudos [?]: 1024 [1] , given: 25

Re: Is there a faster way to solve this problem? [#permalink]

### Show Tags

10 Oct 2010, 14:23
1
KUDOS
niheil wrote:
Does anyone think there's a faster way to solve this problem:

How many different groups of 3 people can be formed from a group of 5 people?
(A) 5
(B) 6
(C) 8
(D) 9
(E) 10

How I solved the problem
[Reveal] Spoiler:
I solved the problem by listing all the possible combinations (123, 124, 125...). But I have a feeling there's a shortcut to solving this problem.

Source: Paper Test
Test Code 42
Section 4
Problem 14

The number of ways to choose r objects out of n objects is $$C(n,r)=\frac{n!}{r!(n-r)!}$$

Using this formula, the answer is C(5,3) or 10.
_________________
Math Expert
Joined: 02 Sep 2009
Posts: 39066
Followers: 7759

Kudos [?]: 106593 [1] , given: 11630

Re: Is there a faster way to solve this problem? [#permalink]

### Show Tags

10 Oct 2010, 14:25
1
KUDOS
Expert's post
niheil wrote:
Does anyone think there's a faster way to solve this problem:

How many different groups of 3 people can be formed from a group of 5 people?
(A) 5
(B) 6
(C) 8
(D) 9
(E) 10

How I solved the problem
[Reveal] Spoiler:
I solved the problem by listing all the possible combinations (123, 124, 125...). But I have a feeling there's a shortcut to solving this problem.

Source: Paper Test
Test Code 42
Section 4
Problem 14

Choosing 3 distinct objects out of 5 when order of the selection is not important $$C^3_5=\frac{5!}{3!(5-3)!}=10$$.

Check Combination topic of Math Book: math-combinatorics-87345.html

Hope it helps.
_________________
Intern
Joined: 06 Oct 2010
Posts: 40
Followers: 0

Kudos [?]: 24 [0], given: 29

Re: Is there a faster way to solve this problem? [#permalink]

### Show Tags

10 Oct 2010, 22:12
Intern
Joined: 25 Apr 2012
Posts: 1
Followers: 0

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

How many different groups of 3... [#permalink]

### Show Tags

24 May 2012, 15:15
How many different groups of 3 people can be formed from a group of 5 people?
A:5
B:6
C:8
D:9
E:10

Math Expert
Joined: 02 Sep 2009
Posts: 39066
Followers: 7759

Kudos [?]: 106593 [0], given: 11630

Re: How many different groups of 3... [#permalink]

### Show Tags

24 May 2012, 15:20
Tommytran80 wrote:
How many different groups of 3 people can be formed from a group of 5 people?
A:5
B:6
C:8
D:9
E:10

Merging similar topics. Please refer to the solution above.
_________________
Re: How many different groups of 3...   [#permalink] 24 May 2012, 15:20
Similar topics Replies Last post
Similar
Topics:
How many different committees can be formed from a group of two women 4 10 Jun 2016, 09:38
9 How many different ways can a group of 6 people be divided into 3 team 8 05 Jun 2016, 22:41
52 In how many different ways can a group of 9 people be divide 14 31 Jul 2016, 00:08
15 In how many different ways can a group of 9 people be 12 31 May 2013, 01:56
55 In how many different ways can a group of 8 people be divide 18 26 May 2017, 11:07
Display posts from previous: Sort by