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

 It is currently 19 Oct 2018, 22:16

### 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

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

# Find the number of selections that can be made taking 4 lett

Author Message
TAGS:

### Hide Tags

Intern
Joined: 09 Dec 2008
Posts: 27
Location: Vietnam
Schools: Somewhere
Find the number of selections that can be made taking 4 lett  [#permalink]

### Show Tags

29 Jul 2010, 20:09
6
00:00

Difficulty:

95% (hard)

Question Stats:

31% (02:09) correct 69% (02:07) wrong based on 168 sessions

### HideShow timer Statistics

Find the number of selections that can be made taking 4 letters from the word "ENTRANCE".

(A) 70
(B) 36
(C) 35
(D) 72
(E) 32
Math Expert
Joined: 02 Sep 2009
Posts: 50002

### Show Tags

29 Jul 2010, 20:24
5
6
dungtd wrote:
Find the number of selections that can be made taking 4 letters from the word "ENTRANCE".
(A) 70
(B) 36
(C) 35
(D) 72
(E) 32

This problem is not the one you'll see on real GMAT. As combinatorics problems on GMAT are quite straightforward. But still it could be good for practice.

We have 8 letters from which 6 are unique.

Possible scenarios for 4 letter selection are:
A. All letters are different;
B. 2 N-s and other letters are different;
C. 2 E-s and other letters are different;
D. 2 N-s, 2 E-s.

Let's count them separately:
A. All letters are different, means that basically we are choosing 4 letters form 6 distinct letters: 6C4=15;
B. 2 N-s and other letters are different: 2C2(2 N-s out of 2)*5C2(other 2 letters from distinct 5 letters left)=10;
C. 2 E-s and other letters are different: 2C2(2 E-s out of 2)*5C2(other 2 letters from distinct 5 letters left)=10;;
D. 2 N-s, 2 E-s: 2C2*2C2=1.

15+10+10+1=36

_________________
##### General Discussion
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8397
Location: Pune, India
Re: Find the number of selections that can be made taking 4 lett  [#permalink]

### Show Tags

08 Sep 2014, 22:58
dungtd wrote:
Find the number of selections that can be made taking 4 letters from the word "ENTRANCE".

(A) 70
(B) 36
(C) 35
(D) 72
(E) 32

Yes, there is no zing in the question. It involves laborious counting of cases and hence isn't a GMAT type of question.
_________________

Karishma
Veritas Prep GMAT Instructor

GMAT self-study has never been more personalized or more fun. Try ORION Free!

Non-Human User
Joined: 09 Sep 2013
Posts: 8460
Re: Find the number of selections that can be made taking 4 lett  [#permalink]

### Show Tags

12 Nov 2017, 08:12
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.
_________________
Re: Find the number of selections that can be made taking 4 lett &nbs [#permalink] 12 Nov 2017, 08:12
Display posts from previous: Sort by