GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Oct 2019, 13:28

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

How many ways can 4 prizes be given away to 3 boys, if each boy is eli

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58396
How many ways can 4 prizes be given away to 3 boys, if each boy is eli  [#permalink]

Show Tags

New post 18 Sep 2019, 05:13
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

44% (01:07) correct 56% (01:02) wrong based on 36 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
P
Joined: 16 Jan 2019
Posts: 489
Location: India
Concentration: General Management
WE: Sales (Other)
Re: How many ways can 4 prizes be given away to 3 boys, if each boy is eli  [#permalink]

Show Tags

New post 18 Sep 2019, 05:21
Let the prizes be A, B, C & D

A can be given to Boy 1 or Boy 2 or Boy 3 - 3 Options
B can be given to Boy 1 or Boy 2 or Boy 3 - 3 Options
C can be given to Boy 1 or Boy 2 or Boy 3 - 3 Options
D can be given to Boy 1 or Boy 2 or Boy 3 - 3 Options

Therefore the total number of outcomes is 3*3*3*3=81

Answer is (A)
Manager
Manager
User avatar
B
Joined: 05 Oct 2014
Posts: 71
Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: How many ways can 4 prizes be given away to 3 boys, if each boy is eli  [#permalink]

Show Tags

New post 18 Sep 2019, 06:37
How many ways can 4 different prizes be given away to 3 boys, if each boy is eligible for all the prizes?

A. 81
B. 64
C. 48
D. 27
E. 12[/quote]

Each boy(3) is eligible for all the 4 different prizes. So no of ways 3^4 = 81
Board of Directors
User avatar
D
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4777
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: How many ways can 4 prizes be given away to 3 boys, if each boy is eli  [#permalink]

Show Tags

New post 18 Sep 2019, 07:55
Bunuel wrote:
How many ways can 4 different prizes be given away to 3 boys, if each boy is eligible for all the prizes?

A. 81
B. 64
C. 48
D. 27
E. 12

1st prize can be given in 3 ways
2nd prize can be given in 3 ways
3rd prize can be given in 3 ways
4th prize can be given in 3 ways

Total no of ways of distribution of 4 prizes is 3*3*3*3 = 81, Answer must be (A)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8117
Location: United States (CA)
Re: How many ways can 4 prizes be given away to 3 boys, if each boy is eli  [#permalink]

Show Tags

New post 23 Sep 2019, 09:37
Bunuel wrote:
How many ways can 4 different prizes be given away to 3 boys, if each boy is eligible for all the prizes?

A. 81
B. 64
C. 48
D. 27
E. 12



Since each prize can have 3 choices (a boy being a choice), the 4 prizes can be given to 3 boys in
3 x 3 x 3 x 3 = 3^4 = 81 ways.

Answer: A
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Senior Manager
Senior Manager
User avatar
P
Joined: 10 Jan 2017
Posts: 304
Location: India
Reviews Badge CAT Tests
Re: How many ways can 4 prizes be given away to 3 boys, if each boy is eli  [#permalink]

Show Tags

New post 23 Sep 2019, 09:45
Each price is having 3 contenders, so total no of ways will be 3*3*3*3 = 3^4=81
_________________
Your limitation—it's only your imagination.
Please hit +1 Kudos if you like my Post.
GMAT Club Bot
Re: How many ways can 4 prizes be given away to 3 boys, if each boy is eli   [#permalink] 23 Sep 2019, 09:45
Display posts from previous: Sort by

How many ways can 4 prizes be given away to 3 boys, if each boy is eli

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne