BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Permo Combo continues 12

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 1578
Joined: Sun Dec 28, 2008 1:49 am
Thanked: 82 times
Followed by:9 members
GMAT Score:720

Permo Combo continues 12

by maihuna » Mon Aug 10, 2009 8:29 am
Find the number of arrangements which can be made out of the letters of the world "algebra" without altering the relative positions of vowels and consonants.

26
36
72
75
85
Charged up again to beat the beast :)
Top
Source: — Problem Solving |
Legendary Member
Posts: 527
Joined: Thu May 01, 2008 12:06 am
Thanked: 7 times

by real2008 » Mon Aug 10, 2009 9:17 am
it must be 72
Top
Legendary Member
Posts: 1578
Joined: Sun Dec 28, 2008 1:49 am
Thanked: 82 times
Followed by:9 members
GMAT Score:720

by maihuna » Mon Aug 10, 2009 10:16 am
real2008 wrote:it must be 72
how?
Charged up again to beat the beast :)
Top
Legendary Member
Posts: 527
Joined: Thu May 01, 2008 12:06 am
Thanked: 7 times

Re: Permo Combo continues 12

by real2008 » Mon Aug 10, 2009 10:23 am
maihuna wrote:Find the number of arrangements which can be made out of the letters of the world "algebra" without altering the relative positions of vowels and consonants.

26
36
72
75
85

vowels:V
consonants:C

VCCVCCV

keeping V and C position relatively same,

(3!/2)[div by 2 for two 'a's are there and to eliminate redundancy]x4!=72
Top
Master | Next Rank: 500 Posts
Posts: 113
Joined: Thu Jul 16, 2009 11:23 am
Thanked: 15 times
GMAT Score:730

by prindaroy » Mon Aug 10, 2009 11:18 am
A_ _ E _ _ A

for vowels = 3!/2! = 3

for consonants = 4!

so 3*4! = 72
Top
Post new topic Post Reply
• Page 1 of 1