Target Test Prep 20% Off Flash Sale is on! Code: FLASH20

Redeem
Target Test Prep
5-Day Free Trial
5-day free, full-access trial TTP

Available with Beat the GMAT members only code

MORE DETAILS
Target Test Prep
Magoosh
Magoosh
Study with Magoosh GMAT prep

Available with Beat the GMAT members only code

MORE DETAILS
Magoosh

P&C

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Senior | Next Rank: 100 Posts
Posts: 87
Joined: Sun Jul 24, 2011 10:36 am

P&C

by [email protected] » Wed Sep 07, 2011 5:11 am
In how many ways can you arrange the alphabets of the word PRIVATE such that no two vowels are together?
1: 720
2: 4320
3: 3600
4: 1440
5: 2500

answer is ddddd.
Top
User avatar
Legendary Member
Posts: 1309
Joined: Mon Apr 04, 2011 5:34 am
Location: India
Thanked: 310 times
Followed by:123 members
GMAT Score:750

by cans » Wed Sep 07, 2011 5:16 am
consonants = 4
arrange them = 24 ways.
vowels = 3. arrange them = 6 ways.
also 5 spaces in consonants. pick any 3 . 5C3
24*6*10 =1440
If my post helped you- let me know by pushing the thanks button ;)

Contact me about long distance tutoring!
[email protected]

Cans!!
Top
User avatar
Master | Next Rank: 500 Posts
Posts: 496
Joined: Tue Jun 07, 2011 5:34 am
Thanked: 38 times
Followed by:1 members

by sl750 » Thu Sep 08, 2011 8:03 am
Why is it 5c3?
Top
User avatar
Legendary Member
Posts: 504
Joined: Tue Apr 19, 2011 1:40 pm
Thanked: 114 times
Followed by:11 members

by knight247 » Thu Sep 08, 2011 8:42 am
The arrangement looks as follows. Where the three vowels can only be fitted in one of the gaps

_P_R_V_T_

Firstly, the 3 vowels can be placed and shuffled in any of the 5 gaps in 5P3=60Ways
The four consonants can be adjusted amongst themselves in 4P4=4!=24 Ways

Total number of ways=24*60=1440 ways Hence D
Top
Post new topic Post Reply
• Page 1 of 1