Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 19 May 2013, 12:36

# Permutation question

Author Message
TAGS:
Intern
Joined: 23 Feb 2010
Posts: 1
Followers: 0

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

Permutation question [#permalink]  23 Feb 2010, 15:39
00:00

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
In how many ways can the letters in PRECISION be arranged? In how many of these arrangements do the vowels occupy even places ?
IMO:
No of letters in PRECISION = 9
No of ways the letters in PRECISION can be arranged = 9!/2! = 181440

No of vowels in the word PRECISION = 4
No of even spaces in the word PRECISION = 4
Vowels in even spaces = 4C4
Remaining num of letters = 5P5
4C4*5P5=120
[Reveal] Spoiler:
1440
GMAT Club team member
Joined: 02 Sep 2009
Posts: 11515
Followers: 1791

Kudos [?]: 9536 [0], given: 826

Re: Permutation question [#permalink]  23 Feb 2010, 15:54
jazzyqueen wrote:
In how many ways can the letters in PRECISION be arranged? In how many of these arrangements do the vowels occupy even places ?
IMO:
No of letters in PRECISION = 9
No of ways the letters in PRECISION can be arranged = 9!/2! = 181440

No of vowels in the word PRECISION = 4
No of even spaces in the word PRECISION = 4
Vowels in even spaces = 4C4
Remaining num of letters = 5P5
4C4*5P5=120
[Reveal] Spoiler:
1440

Welcome to Gmat Club jazzyqueen.

Question #2:
4 vowels out of which two are identical can be arranged in even places in 4!/2!=12 # of ways.
Remaining 5 letters can be arranged in 5!=120 # of ways.

Total 12*120=1440.
_________________
Intern
Joined: 26 Sep 2009
Posts: 12
Followers: 0

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

Re: Permutation question [#permalink]  25 Feb 2010, 05:19
Bunuel wrote:
jazzyqueen wrote:
In how many ways can the letters in PRECISION be arranged? In how many of these arrangements do the vowels occupy even places ?
IMO:
No of letters in PRECISION = 9
No of ways the letters in PRECISION can be arranged = 9!/2! = 181440

No of vowels in the word PRECISION = 4
No of even spaces in the word PRECISION = 4
Vowels in even spaces = 4C4
Remaining num of letters = 5P5
4C4*5P5=120
[Reveal] Spoiler:
1440

Welcome to Gmat Club jazzyqueen.

Question #2:
4 vowels out of which two are identical can be arranged in even places in 4!/2!=12 # of ways.
Remaining 5 letters can be arranged in 5!=120 # of ways.

Total 12*120=1440.

not sure, but I think 1440 in both case if we start with Vowels and non-Vowels, so I think we need to divid by 2.
Senior Manager
Joined: 22 Dec 2009
Posts: 368
Followers: 9

Kudos [?]: 136 [0], given: 47

Re: Permutation question [#permalink]  26 Feb 2010, 12:47
In how many ways can the letters in PRECISION be arranged? In how many of these arrangements do the vowels occupy even places ?
IMO:
No of letters in PRECISION = 9
No of ways the letters in PRECISION can be arranged = 9!/2! = 181440

No of vowels in the word PRECISION = 4
No of even spaces in the word PRECISION = 4
Vowels in even spaces = 4C4
Remaining num of letters = 5P5
4C4*5P5=120

-------------------------

4 vowels with I repeated.
Number of ways 4 vowels can occupy 4 even spaces = 4P4 / 2! (as I is repeated) = 12
Number of ways 5 consonants can occupy 5 odd spaces = 5P5 = 120

Therefore total number of ways = 12 * 120 = 1440
_________________

Cheers!
JT...........
If u like my post..... payback in Kudos!!

|For CR refer Powerscore CR Bible|For SC refer Manhattan SC Guide|

~~Better Burn Out... Than Fade Away~~

Re: Permutation question   [#permalink] 26 Feb 2010, 12:47
Similar topics Replies Last post
Similar
Topics:
Hard permutation/combination question 2 31 Oct 2003, 15:31
Permutation - Question Paper 1 05 Jan 2005, 23:42
Permutation/ Combination Question 12 10 Dec 2006, 21:37
2 Permutation/Combination question 11 26 Sep 2008, 23:41
3 Permutation question 18 09 Jun 2009, 08:31
Display posts from previous: Sort by