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

Redeem

Permutation

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Junior | Next Rank: 30 Posts
Posts: 14
Joined: Wed Apr 22, 2009 10:00 am
Thanked: 1 times

Permutation

by sportcntr3 » Wed Apr 22, 2009 10:03 am
In how many different ways can the letters of the word, 'EXPLAIN' be arranged so that, the vowels may occupy only the odd position?

a) 120
b) 250
c) 200
d) 500
e) 576

OA: 576
Last edited by sportcntr3 on Wed Apr 22, 2009 11:07 am, edited 1 time in total.
Top
Source: — Problem Solving |
Legendary Member
Posts: 1035
Joined: Wed Aug 27, 2008 10:56 pm
Thanked: 104 times
Followed by:1 members

by scoobydooby » Wed Apr 22, 2009 10:17 am
three vowels E, A, I can be arranged in 4 positions (1st, 3rd, 5th, 7th) in 4P3 ways. 4P3=4!=24 ways.

the 4 consonants (X, P, L, N) can be arranged in the remaining 3 slots (2nd, 4th, 6th) in 4P3 or 24 ways

or total number of ways in which the word can be arranged in 24*24=576 ways.

hence, E
Top
Post new topic Post Reply
• Page 1 of 1