Comibatorics Question with Scenarios : GMAT Problem Solving (PS)
Check GMAT Club App Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack

It is currently 07 Dec 2016, 15:40
GMAT Club Tests

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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

Comibatorics Question with Scenarios

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

Hide Tags

Retired Moderator
User avatar
Status: The last round
Joined: 18 Jun 2009
Posts: 1310
Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34
Followers: 77

Kudos [?]: 977 [0], given: 157

GMAT ToolKit User
Comibatorics Question with Scenarios [#permalink]

Show Tags

New post 24 Mar 2010, 09:29
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

HideShow timer Statistics

A men's basket ball team assigns every player a two digit number for the back of his jersey. If the digit uses the digits 1 to 5, what is the maximum number of players that can join the league such that no player has a number with repeated digits (like 22) & no two players have the same number??

Guys, after answering the above question, kindly consider the following scenarios:

Scenario 1: What will be the answer, if the repetition (eg 22) is allowed.

Scenario 2: What will be the answer, if every player is assigned a "three" digit number from the digits 1 to 5 & the repetition of digits (eg 323 or 333) is not allowed.

Scenario 3: What will be the answer, if every player is assigned a "three" digit number from the digits 1 to 5 & the repetition of digits (eg 323 or 333) is allowed.

Well, I think if I can get some views on these scenarios, I can understand "Combinatorics". These scenarios emerged as a result of a discussion between myself & AtifS (an active member of the club & my partner).

The source of question is MGMAT Guide while the 3 scenarios are our creation.
_________________

[ From 470 to 680-My Story ] [ My Last Month Before Test ]
[ GMAT Prep Analysis Tool ] [ US. Business School Dashboard ] [ Int. Business School Dashboard ]

I Can, I Will

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Senior Manager
avatar
Joined: 01 Feb 2010
Posts: 267
Followers: 1

Kudos [?]: 54 [0], given: 2

Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

New post 24 Mar 2010, 09:46
Hussain15 wrote:
A men's basket ball team assigns every player a two digit number for the back of his jersey. If the digit uses the digits 1 to 5, what is the maximum number of players that can join the league such that no player has a number with repeated digits (like 22) & no two players have the same number??
The source of question is MGMAT Guide while the 3 scenarios are our creation.


1st digit = 5 ways
2nd digit = 4 ways
total = 5*4 = 20 players

Please mention the OA
Senior Manager
Senior Manager
avatar
Joined: 01 Feb 2010
Posts: 267
Followers: 1

Kudos [?]: 54 [0], given: 2

Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

New post 24 Mar 2010, 09:49
Hussain15 wrote:
A men's basket ball team assigns every player a two digit number for the back of his jersey. If the digit uses the digits 1 to 5, what is the maximum number of players that can join the league such that no player has a number with repeated digits (like 22) & no two players have the same number??
Guys, after answering the above question, kindly consider the following scenarios:
Scenario 1: What will be the answer, if the repetition (eg 22) is allowed.
Scenario 2: What will be the answer, if every player is assigned a "three" digit number from the digits 1 to 5 & the repetition of digits (eg 323 or 333) is not allowed.
Scenario 3: What will be the answer, if every player is assigned a "three" digit number from the digits 1 to 5 & the repetition of digits (eg 323 or 333) is allowed.
The source of question is MGMAT Guide while the 3 scenarios are our creation.

Scenario1: if repetition allowed then its 5 * 5 = 25 players.

Scenario 2: 5 * 4 * 3 = 60 players.

Scenario 3: 5 * 5 * 5 = 125 players.
Retired Moderator
User avatar
Status: The last round
Joined: 18 Jun 2009
Posts: 1310
Concentration: Strategy, General Management
GMAT 1: 680 Q48 V34
Followers: 77

Kudos [?]: 977 [0], given: 157

GMAT ToolKit User
Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

New post 24 Mar 2010, 11:14
Thanks for the input, official answer will be shared soon after a few inputs.

Posted from my mobile device Image
_________________

[ From 470 to 680-My Story ] [ My Last Month Before Test ]
[ GMAT Prep Analysis Tool ] [ US. Business School Dashboard ] [ Int. Business School Dashboard ]

I Can, I Will

GMAT Club Premium Membership - big benefits and savings

Senior Manager
Senior Manager
User avatar
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 294
Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)
Followers: 17

Kudos [?]: 225 [0], given: 260

GMAT ToolKit User Premium Member CAT Tests
Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

New post 24 Mar 2010, 11:15
bangalorian2000 wrote:
Hussain15 wrote:
A men's basket ball team assigns every player a two digit number for the back of his jersey. If the digit uses the digits 1 to 5, what is the maximum number of players that can join the league such that no player has a number with repeated digits (like 22) & no two players have the same number??
Guys, after answering the above question, kindly consider the following scenarios:
Scenario 1: What will be the answer, if the repetition (eg 22) is allowed.
Scenario 2: What will be the answer, if every player is assigned a "three" digit number from the digits 1 to 5 & the repetition of digits (eg 323 or 333) is not allowed.
Scenario 3: What will be the answer, if every player is assigned a "three" digit number from the digits 1 to 5 & the repetition of digits (eg 323 or 333) is allowed.
The source of question is MGMAT Guide while the 3 scenarios are our creation.

Scenario1: if repetition allowed then its 5 * 5 = 25 players.

Scenario 2: 5 * 4 * 3 = 60 players.

Scenario 3: 5 * 5 * 5 = 125 players.

Nice! can you please! explain y did you take 5*5=5^2 for 1st scenario and y did you take 5*5*5=5^3 for 3rd scenario? I just wanted to know the logic behind t. Well I think 5 options are possible for 1st digit and similarly 5 for 2nd digit. Same goes for 3-digit number. But would like to know your explanation as there might be anything useful to know :)
Thanks,

-A
_________________

"I choose to rise after every fall"
Target=770
http://challengemba.blogspot.com
Kudos??

Senior Manager
Senior Manager
avatar
Joined: 01 Feb 2010
Posts: 267
Followers: 1

Kudos [?]: 54 [0], given: 2

Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

New post 24 Mar 2010, 20:50
AtifS wrote:
bangalorian2000 wrote:
Hussain15 wrote:
A men's basket ball team assigns every player a two digit number for the back of his jersey. If the digit uses the digits 1 to 5, what is the maximum number of players that can join the league such that no player has a number with repeated digits (like 22) & no two players have the same number??
Guys, after answering the above question, kindly consider the following scenarios:
Scenario 1: What will be the answer, if the repetition (eg 22) is allowed.
Scenario 2: What will be the answer, if every player is assigned a "three" digit number from the digits 1 to 5 & the repetition of digits (eg 323 or 333) is not allowed.
Scenario 3: What will be the answer, if every player is assigned a "three" digit number from the digits 1 to 5 & the repetition of digits (eg 323 or 333) is allowed.
The source of question is MGMAT Guide while the 3 scenarios are our creation.

Scenario1: if repetition allowed then its 5 * 5 = 25 players.

Scenario 2: 5 * 4 * 3 = 60 players.

Scenario 3: 5 * 5 * 5 = 125 players.

Nice! can you please! explain y did you take 5*5=5^2 for 1st scenario and y did you take 5*5*5=5^3 for 3rd scenario? I just wanted to know the logic behind t. Well I think 5 options are possible for 1st digit and similarly 5 for 2nd digit. Same goes for 3-digit number. But would like to know your explanation as there might be anything useful to know :)
Thanks,

-A


The logic is same as you said,
if digit repeat is allowed than
ways to select 1st digit = 5 (either of 1,2,3,4,5)
ways to select 2nd digit = 5 (either of 1,2,3,4,5)
total = 5*5 = 25

for the case when number on player's shirt is of three digits then
ways to select 1st digit = 5 (either of 1,2,3,4,5)
ways to select 2nd digit = 5 (either of 1,2,3,4,5)
ways to select 3rd digit = 5 (either of 1,2,3,4,5)
total = 5*5*5 = 125
Senior Manager
Senior Manager
User avatar
Status: Not afraid of failures, disappointments, and falls.
Joined: 20 Jan 2010
Posts: 294
Concentration: Technology, Entrepreneurship
WE: Operations (Telecommunications)
Followers: 17

Kudos [?]: 225 [0], given: 260

GMAT ToolKit User Premium Member CAT Tests
Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

New post 24 Mar 2010, 22:22
@bangalorian!
Now that's better :) even a newbie can understand that's why I asked you to explain it because others can understand it easily.
P.S: Actually! I did have idea after discussion with Hussain15 but wasn't sure and also wanted others views.
_________________

"I choose to rise after every fall"
Target=770
http://challengemba.blogspot.com
Kudos??

Re: Comibatorics Question with Scenarios   [#permalink] 24 Mar 2010, 22:22
    Similar topics Author Replies Last post
Similar
Topics:
Exponent Question bsjames2 7 06 Jan 2008, 16:43
2 Percentage Question roceeet 6 11 Feb 2010, 12:25
2 remainder question!! apoorvasrivastva 2 07 Jan 2010, 22:01
Prep Question -- line question reply2spg 3 04 Jan 2010, 16:48
MGMAT questions gmatforce 6 02 Nov 2009, 04:30
Display posts from previous: Sort by

Comibatorics Question with Scenarios

  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 and phpBB SEO

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®.