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:

My name is AJEET. But my son accidentally types the name by [#permalink]

Show Tags

10 Nov 2007, 20:53

1

This post received KUDOS

11

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

53% (02:02) correct
47% (01:22) wrong based on 556 sessions

HideShow timer Statistics

My name is AJEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?

115. My name is AJEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?

a) 5% b) 10% c) 20% d) 25%

= (No of ways to chose two letter for exchangefrom{EE}) /(No of ways to chose two letter for exchange from{AJEET}) =2C2/5C2 = 1/10=10%
_________________

Your attitude determines your altitude Smiling wins more friends than frowning

115. My name is AJEET. But my son accidentally types the name by interchanging a pair of letters in my name. What is the probability that despite this interchange, the name remains unchanged?

a) 5% b) 10% c) 20% d) 25%

Soln: The total number of ways in which two letters can be interchanged and we get a new five letter words is 10 ways.

Of these 10 possible five letter words, the only interchange where the name does not change is when the E's are interchanged.

is my approach correct? I read the question as, what is the prob. to choose EE from AJEET, then, 2/5*1/4=1/10 ==> 10% ? thanks.

HI There

I didnt quite understand your calculation although I took the a similar logic

I read the question as " what is the probability of EE being together in AJEET "

so combinations where EE is together in AJEET is 4!/2! (Club EE together as 1 unit, hence AJ(EE)T, different combos => 4! and EE repeats twice so divide by 2!)

probability of EE together in all combinations of AJEET = (4!/2!)/5! * 100 => 12/120 * 100 => 10%

Re: My name is AJEET. But my son accidentally types the name by [#permalink]

Show Tags

18 Feb 2014, 05:25

1

This post received KUDOS

We need to pick 2 letters from the 5 given. As only one combination of letters will make the name remain the same, that is, changing the order of E and E. then 1/5C3 = 1/10 = 10%. B is the correct answer

Re: My name is AJEET. But my son accidentally types the name by [#permalink]

Show Tags

02 May 2015, 05:02

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Hi Bunuel, please give a solution to this problem. Thanks.

Hi,

the name is AJEET.. Any two letters are changed.. total letters = 5 and we choose two out of these = \(5C2 = \frac{5!}{3!2!} = 10\).. there is ONLY 1 combination where the name does not change E with E..- 1 way \(prob = \frac{1}{10} = 10%\)
_________________

Re: My name is AJEET. But my son accidentally types the name by [#permalink]

Show Tags

13 Aug 2016, 16:57

4c2(4 disitnct letters A J E T)+1(EE) ---------------------------------------------------------------------

Order matters, so I don't think you shouldn't be using a combination. Here's a refresher: Combinations: When the outcome of each stage does not differ from the outcomes of the others Permutations: When order matters

Permutation formula: \(\frac{n!}{(n-r)!}\)

Applying the formula to the question yields: \(\frac{5!}{(5-2)!} = \frac{5!}{3!}\) = 20 total outcomes

There are two E's in the name, so there are 2 outcomes out of 20 that the son could select. Thus, \(\frac{2}{20} = \frac{1}{10}\) = 10%.

gmatclubot

Re: My name is AJEET. But my son accidentally types the name by
[#permalink]
13 Aug 2016, 16:57

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...