It is currently 19 Nov 2017, 23:29

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

Confirm Cancel

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The letters "CFOSU" are arranged in dictionary order. What

  post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
1 KUDOS received
Manager
Manager
avatar
Joined: 24 Jan 2005
Posts: 217

Kudos [?]: 14 [1], given: 0

Location: Boston
The letters "CFOSU" are arranged in dictionary order. What [#permalink]

Show Tags

New post 19 Apr 2005, 18:38
1
This post received
KUDOS
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 2 sessions

HideShow timer Statistics

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

The letters "CFOSU" are arranged in dictionary order. What is the
rank of the word "FOCUS" in this order?

(a) 17
(b) 21
(c) 31
(d) 35
(e) 38

Kudos [?]: 14 [1], given: 0

VP
VP
avatar
Joined: 30 Sep 2004
Posts: 1480

Kudos [?]: 426 [0], given: 0

Location: Germany
 [#permalink]

Show Tags

New post 20 Apr 2005, 00:44
31...

C in first place = 4! ways

F in first place and C in second place = 3! ways

F in 1st p, O in 2nd p and C in 3rd p = 2 ways => FOCSU and then FOCUS

4!+3!+1=31
_________________

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

Kudos [?]: 426 [0], given: 0

Senior Manager
Senior Manager
avatar
Joined: 15 Mar 2005
Posts: 418

Kudos [?]: 29 [0], given: 0

Location: Phoenix
 [#permalink]

Show Tags

New post 20 Apr 2005, 03:42
christoph wrote:
31...

C in first place = 4! ways

F in first place and C in second place = 3! ways

F in 1st p, O in 2nd p and C in 3rd p = 2 ways => FOCSU and then FOCUS

4!+3!+1=31


There are 31 words before FOCUS. Therefore shouldnt FOCUS' rank be 32nd? There's no such option though :(
_________________

Who says elephants can't dance?

Kudos [?]: 29 [0], given: 0

VP
VP
avatar
Joined: 30 Sep 2004
Posts: 1480

Kudos [?]: 426 [0], given: 0

Location: Germany
 [#permalink]

Show Tags

New post 20 Apr 2005, 06:00
kapslock wrote:
christoph wrote:
31...

C in first place = 4! ways

F in first place and C in second place = 3! ways

F in 1st p, O in 2nd p and C in 3rd p = 2 ways => FOCSU and then FOCUS

4!+3!+1=31


There are 31 words before FOCUS. Therefore shouldnt FOCUS' rank be 32nd? There's no such option though :(


combinations before FOCSU are 4!+3!...FOCSU is 31...and FOCUS is 32
_________________

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

Kudos [?]: 426 [0], given: 0

Manager
Manager
avatar
Joined: 24 Jan 2005
Posts: 217

Kudos [?]: 14 [0], given: 0

Location: Boston
Solution [#permalink]

Show Tags

New post 20 Apr 2005, 17:17
A longer but elaborate method: (From Math Forum)

Let's use a code to solve this problem. We have the following letters:

C

F

O

S

U

And we will take all the permutations of these letters and arrange
them in alphabetical order.

I think it will be helpful to think of these letters as numbers. The
first letter, alphabetically, in this list is C, so let's replace "C"
with the number 1.

The second letter is F, so let's replace it with 2.

And so on.

Using this code, the word "FOCUS" will be the sequence:

2 3 1 5 4

The first permutation in the sequence "alphabetically" is:

1 2 3 4 5

Then

1 2 3 5 4

Then

1 2 4 3 5

And it goes on like that.

The permutation we want is, again:

2 3 1 5 4

Which starts with a 2, so it comes AFTER every permutation that starts
with a 1. How many permutations start with a 1? The answer to that is
the number of ways the digits:

2 3 4 5

can be arranged.
tells us that that number of combinations is going to be 4! (4*3*2*1)
or 24.

So there are 24 permutations that begin with 1. That means that the
25th permutation is:

2 1 3 4 5

Now we've gotten the first digit in place. The next digit we want is
3. So we are going to have to work through all of the permutations
that start with "2 1". How many are there? 3! (3*2*1) or 6.

So the 30th permutation is:

2 3 1 4 5

And the 31st permutation is:

2 3 1 5 4

Kudos [?]: 14 [0], given: 0

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 15643

Kudos [?]: 283 [0], given: 0

Premium Member
Re: The letters "CFOSU" are arranged in dictionary order. What [#permalink]

Show Tags

New post 12 Jul 2017, 10:24
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

Kudos [?]: 283 [0], given: 0

Re: The letters "CFOSU" are arranged in dictionary order. What   [#permalink] 12 Jul 2017, 10:24
Display posts from previous: Sort by

The letters "CFOSU" are arranged in dictionary order. What

  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 | Emoji artwork provided by EmojiOne

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®.