MBA Entrance, CAT 2016, XAT permutation combination sample questions : Ascent Education CAT correspondence course
 LATEST NEWS • Ascent Success Stories • TANCET 16 Classes @ Chennai • XAT 16 Classes @ Chennai
 Ascent's Courses CAT 2010 for IIMs CAT Classroom Chennai Math & DI Crash Course CAT - Correspondence CAT Correspondence India CAT Corres Abroad Mock CAT Series CAT Crash Course Math Shortcut Workshops XAT Classes TANCET 2010 Classes MAT Classes GRE-GMAT GMAT Classes US B Schools Faculty List Question A Day Business Partnership Jobs @ Ascent Testimonials Ascent TANCET Toppers

### Permutation and Combination - Quant/Math - CAT 2016

Question 4 the day: June 19, 2003

The question for the day is from the topic Permutation and Combination.

Question:
In how many ways can the letters of the word EDUCATION be rearranged so that the relative position of the vowels and consonants remain the same as in the word EDUCATION?

(1) 9!/4
(2) 9!/(4!*5!)
(3) 4!*5!
(4) None of these

Solution:

The word EDUCATION is a 9 letter word, with none of the letters repeating.

The vowels occupy 3, 5, 7th and 8th position in the word and the remaining 5 positions are occupied by consonants

As the relative position of the vowels and consonants in any arrangement should remain the same as in the word EDUCATION, the vowels can occupy only the aforementioned 4 places and the consonants can occupy 1st, 2nd, 4th, 6th and 9th positions.

The 4 vowels can be arranged in the 3rd, 5th, 7th and 8th position in 4! Ways.

Similarly, the 5 consonants can be arranged in 1st, 2nd, 4th, 6th and 9th position in 5! Ways.

Hence, the total number of ways = 4! * 5!.

## XLRI XAT TANCET Practice Question Samples

#### Question Archives

GMAT Math Books
 Comprehensive study material for GMAT Quant. 1800+ questions.

Staying outside India?
 Ascent offers CAT Correspondence Course for those who reside abroad.

 CAT Discussion Forum

 GMAT Math Lesson Book | SAT prep | GRE Classes @ Chennai | GMAT Coaching @ Chennai | TANCET Mailing List © 2002 - 17 ASCENT Education all rights reserved. Terms & Condition | Privacy Policy