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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

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.
_________________

Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

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.

Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

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.

Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

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??

Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

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

Re: Comibatorics Question with Scenarios [#permalink]

Show Tags

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??

gmatclubot

Re: Comibatorics Question with Scenarios
[#permalink]
24 Mar 2010, 22:22

It’s quickly approaching two years since I last wrote anything on this blog. A lot has happened since then. When I last posted, I had just gotten back from...

Since my last post, I’ve got the interview decisions for the other two business schools I applied to: Denied by Wharton and Invited to Interview with Stanford. It all...

Marketing is one of those functions, that if done successfully, requires a little bit of everything. In other words, it is highly cross-functional and requires a lot of different...