Permutations and combinations - Quantitative Aptitude (MCQ) questions for Q. 714

Q.  In how many different ways can the letters of the word ‘GEOMETRY’ be arranged so that the vowels always come together?
- Published on 06 Jul 15

a. 720
b. 4320
c. 2160
d. 40320

ANSWER: 4320
 

There are in all 8 letters in the given word of which 3 are vowels. As the vowels should always be together, considering the 3 vowels as one letter, there are in all 6

letters which can be arranged in 6! ways = 720
Also the 3 vowels can be arranged in 3! ways = 6
Total number of arrangements = 720*6 = 4320

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    Discussion

  • Dorji   -Posted on 06 Nov 20
    Answer should be 2160 as there is two vowels "E" where 3!/2! for arrangement of vowels
  • Telugu.yagnesh   -Posted on 05 May 20
    In the word geometry E is repeated two times so the vowels should be arranged as 3!/2!

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