It is currently 19 Oct 2017, 09:45

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# How many 5 letters words can be formed using BEGIN?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 10 Dec 2011
Posts: 71

Kudos [?]: 27 [0], given: 26

Location: India
Concentration: Finance, Economics
GMAT Date: 09-28-2012
WE: Accounting (Manufacturing)
How many 5 letters words can be formed using BEGIN? [#permalink]

### Show Tags

18 Sep 2017, 12:21
2
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

84% (00:31) correct 16% (01:44) wrong based on 45 sessions

### HideShow timer Statistics

How many 5 letters words can be formed using BEGIN?

Condition: Vowels must come at the end

A. 10
B. 12
C. 20
D. 24
E. 15

I would like if someone solves this through the nPr method. Bunuel come on man!
[Reveal] Spoiler: OA

Kudos [?]: 27 [0], given: 26

Math Expert
Joined: 02 Sep 2009
Posts: 41893

Kudos [?]: 128871 [0], given: 12183

Re: How many 5 letters words can be formed using BEGIN? [#permalink]

### Show Tags

18 Sep 2017, 12:25
talismaaniac wrote:
How many 5 letters words can be formed using BEGIN?

Condition: Vowels must come at the end

A. 10
B. 12
C. 20
D. 24
E. 15

I would like if someone solves this through the nPr method. Bunuel come on man!

E - - - I

3 consonants in the middle can be arranged in 3! ways, and E and I can be arranged in 2! ways (E - - - I and I - - - E), so 3!*2! = 12.

_________________

Kudos [?]: 128871 [0], given: 12183

Manager
Joined: 25 Nov 2015
Posts: 228

Kudos [?]: 64 [0], given: 239

Location: India
GPA: 3.64
WE: Engineering (Energy and Utilities)
Re: How many 5 letters words can be formed using BEGIN? [#permalink]

### Show Tags

19 Sep 2017, 03:10
talismaaniac wrote:
How many 5 letters words can be formed using BEGIN?

Condition: Vowels must come at the end

A. 10
B. 12
C. 20
D. 24
E. 15

I would like if someone solves this through the nPr method. Bunuel come on man!

Let us arrange the consonants first in the 3 places.
It can be done in 3x2x1=6 ways which is same as 3P3.
vowels can be arranged in 2! = 2 ways
hence answer = 6x2 =12 ways (B)

Please press kudos, if u liked my post!
_________________

When the going gets tough, the tough gets going...

Kudos [?]: 64 [0], given: 239

Manager
Joined: 17 Aug 2016
Posts: 51

Kudos [?]: 8 [0], given: 25

Re: How many 5 letters words can be formed using BEGIN? [#permalink]

### Show Tags

19 Sep 2017, 12:52
talismaaniac wrote:
How many 5 letters words can be formed using BEGIN?

Condition: Vowels must come at the end

A. 10
B. 12
C. 20
D. 24
E. 15

I would like if someone solves this through the nPr method. Bunuel come on man!

Here are two methods -

BEGIN has two vowels - E and I, they need to come at the end.

__ __ __ I E
Fix E at the end, and I next to it, then we would be left with 3 alphabets that needs to be arranged at the remaining 3 places, that can be done in 3P3 = 3! = 6 ways.

__ __ __ E I
Similarly if we fix I at the end and E next to it, we can fill the remaining 3 places in 3P3 ways = 6 ways.

Total words that can be formed with vowels at the end would be = 6 * 2 = 12 ways.

Method 2 -

BEGIN -

E and I at the end.(they can be filled at the end in 2 ways)

_1_ x__2_x _3__ x_1_ x __2__ = 12 ways

This is the filling spaces method, which I prefer than using the nPr formula.

Regards,
Squib
_________________

Work Hard! Have Fun! Create History!

Kudos [?]: 8 [0], given: 25

Re: How many 5 letters words can be formed using BEGIN?   [#permalink] 19 Sep 2017, 12:52
Display posts from previous: Sort by