It is currently 19 Oct 2017, 17:29

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If 3 persons are selected at random from 8 persons for 3 positions pr

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4133

Kudos [?]: 2893 [0], given: 0

GPA: 3.82
Premium Member CAT Tests
If 3 persons are selected at random from 8 persons for 3 positions pr [#permalink]

Show Tags

New post 15 Sep 2017, 02:04
Expert's post
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

60% (00:40) correct 40% (00:34) wrong based on 67 sessions

HideShow timer Statistics

[GMAT math practice question]

If 3 persons are selected at random from 8 persons for 3 positions present, vice-present, and secretary, how many such ways are possible?

A. 56
B. 70
C. 240
D. 336
E. 1680
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 2893 [0], given: 0

VP
VP
User avatar
D
Status: Long way to go!
Joined: 10 Oct 2016
Posts: 1182

Kudos [?]: 885 [0], given: 54

Location: Viet Nam
GMAT ToolKit User Premium Member CAT Tests
Re: If 3 persons are selected at random from 8 persons for 3 positions pr [#permalink]

Show Tags

New post 15 Sep 2017, 05:04
MathRevolution wrote:
[GMAT math practice question]

If 3 persons are selected at random from 8 persons for 3 positions present, vice-present, and secretary, how many such ways are possible?

A. 56
B. 70
C. 240
D. 336
E. 1680


Choose for present position: 8 ways.
Choose for vice-present position: 7 ways
Choose for secretary position: 6 ways.

Total possible ways: 8 * 7 * 6 = 336 ways. Answer D
_________________

Actual LSAT CR bank by Broall

How to solve quadratic equations - Factor quadratic equations
Factor table with sign: The useful tool to solve polynomial inequalities
Applying AM-GM inequality into finding extreme/absolute value

New Error Log with Timer

Kudos [?]: 885 [0], given: 54

Intern
Intern
avatar
B
Joined: 11 Jun 2017
Posts: 12

Kudos [?]: 0 [0], given: 4

CAT Tests
Re: If 3 persons are selected at random from 8 persons for 3 positions pr [#permalink]

Show Tags

New post 15 Sep 2017, 12:20
No of possibilities when 3 people are selected out of 8 = 8C3 = 56
Now further, the positions can be arranged in 3! ways = 56*3! = 336 (D)

Kudos [?]: 0 [0], given: 4

Senior Manager
Senior Manager
avatar
G
Joined: 25 Feb 2013
Posts: 407

Kudos [?]: 174 [0], given: 31

Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
Re: If 3 persons are selected at random from 8 persons for 3 positions pr [#permalink]

Show Tags

New post 15 Sep 2017, 12:26
MathRevolution wrote:
[GMAT math practice question]

If 3 persons are selected at random from 8 persons for 3 positions present, vice-present, and secretary, how many such ways are possible?

A. 56
B. 70
C. 240
D. 336
E. 1680


Can be solved through Combination, however this is an arrangement question where 8 people need to be arranged in 3 positions.
Hence \(8_P_3\) \(=336\)

Option D

Kudos [?]: 174 [0], given: 31

Director
Director
avatar
P
Joined: 22 May 2016
Posts: 814

Kudos [?]: 264 [0], given: 552

If 3 persons are selected at random from 8 persons for 3 positions pr [#permalink]

Show Tags

New post 15 Sep 2017, 13:57
MathRevolution wrote:
[GMAT math practice question]

If 3 persons are selected at random from 8 persons for 3 positions present, vice-present, and secretary, how many such ways are possible?

A. 56
B. 70
C. 240
D. 336
E. 1680

Order matters. President is like first prize, vice-president is like second prize, and secretary is like third prize.

It's a permutation (or use FCP because there are three slots, and 8*7*6 possibilities).

\(_{n}P_{k} = \frac{n!}{(n - k)!}\)

\(_8P_3 = \frac{8*7*6*(5!)}{(5!)}\) = 336

ANSWER D

**Long version

\(_8P_3 = \frac{8*7*6*5*4*3*2*1}{5*4*3*2*1}\) = 336

Kudos [?]: 264 [0], given: 552

Expert Post
Math Revolution GMAT Instructor
User avatar
P
Joined: 16 Aug 2015
Posts: 4133

Kudos [?]: 2893 [0], given: 0

GPA: 3.82
Premium Member CAT Tests
Re: If 3 persons are selected at random from 8 persons for 3 positions pr [#permalink]

Show Tags

New post 17 Sep 2017, 18:46
=>

8P3 = 8 x 7 x 6 = 336

Ans: D
_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself
See our Youtube demo

Kudos [?]: 2893 [0], given: 0

Expert Post
Target Test Prep Representative
User avatar
S
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 1648

Kudos [?]: 840 [0], given: 2

Location: United States (CA)
Re: If 3 persons are selected at random from 8 persons for 3 positions pr [#permalink]

Show Tags

New post 20 Sep 2017, 15:53
MathRevolution wrote:
[GMAT math practice question]

If 3 persons are selected at random from 8 persons for 3 positions present, vice-present, and secretary, how many such ways are possible?

A. 56
B. 70
C. 240
D. 336
E. 1680


The order of selection is important in this scenario, so this is a permutation problem. The number of ways to select 3 people from 8 for the given positions is 8P3 = 8!/(8-3)! = 8 x 7 x 6 = 336 ways.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Kudos [?]: 840 [0], given: 2

Re: If 3 persons are selected at random from 8 persons for 3 positions pr   [#permalink] 20 Sep 2017, 15:53
Display posts from previous: Sort by

If 3 persons are selected at random from 8 persons for 3 positions pr

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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®.