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:

How many different four-letter words can be formed (the [#permalink]

Show Tags

21 Feb 2005, 07:52

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

100% (01:04) correct
0% (00:00) wrong based on 1 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

How many different four-letter words can be formed (the words don't need to make sense) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?

A. 59
B. 11!/(2!*2!*2!)
C. 56
D. 23
E. 11!/(2!*2!*2!*3!)

We want four letter words that the first letter is E and the last letter is R.

So we need to get the two middle letters from the 11 letters (13-E and R): MDITERANEAN We have 8 different letters with E, A, N repeated twice. So it would be P(8,2)+3=56+3=59

(A)

Hong I followed the highlighted part , but then how come +3?????????
Could you plz explain that?

Last edited by Vijo on 25 Feb 2005, 02:54, edited 1 time in total.

Ok my thought is this. For the middle two letters, you could have two different ones from the eight different letters, or you could have two same ones from the three repeated letters. So the first part is C(8,2), and the second part is 3 (EE, AA, NN).

How many different four-letter words can be formed (the words don't need to make sense) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?

A. 59 B. 11!/(2!*2!*2!) C. 56 D. 23 E. 11!/(2!*2!*2!*3!)

how many four letter words if letters can be repeated?

How many different four-letter words can be formed (the words don't need to make sense) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?

A. 59 B. 11!/(2!*2!*2!) C. 56 D. 23 E. 11!/(2!*2!*2!*3!)

this is really a new concept in counting methods (permutation and combination), if hong's approach is the solution/answer.

How many different four-letter words can be formed (the words don't need to make sense) using the letters of the word MEDITERRANEAN such that the first letter is E and the last letter is R?

A. 59 B. 11!/(2!*2!*2!) C. 56 D. 23 E. 11!/(2!*2!*2!*3!)

this is really a new concept in counting methods (permutation and combination), if hong's approach is the solution/answer.

why ? we have a four-letter-word that begins with a E and ends with a R => E _ _ R. The two spaces in the middle can be occupied by 8 distinct letters, hence 8P2. but its also possible to have repeated letters such as EE, AA and NN. thats why we add 3. i think its just slightly different to a classical permutation-letter-problem.
_________________

If your mind can conceive it and your heart can believe it, have faith that you can achieve it.