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19 Feb 2021, 09:15
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E
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In how many ways can be letters of the word MULTIPLE be arranged without changing the order of the vowels ?
A. 60
B. 90
C. 360
D. 1860
E. 3360
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
A. 60
B. 90
C. 360
D. 1860
E. 3360
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
Updated on: 19 Feb 2021, 22:42
Originally posted by CrackverbalGMAT on 19 Feb 2021, 20:39.
Last edited by CrackverbalGMAT on 19 Feb 2021, 22:42, edited 1 time in total.
Last edited by CrackverbalGMAT on 19 Feb 2021, 22:42, edited 1 time in total.
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M U L T I P L E, has 8 letters, with 5 consonants (L repeated twice) and 3 Vowels.
U I and E should not change their order, but can change positions. 3 positions can be chosen out of 8 in 8C3 = 56 ways
The remaining 5 consonants can be arranged in 5!/2! = 5 * 4 * 3 = 60 ways
The total number of ways = 56 * 60 = 3360
Option E
Arun Kumar
U I and E should not change their order, but can change positions. 3 positions can be chosen out of 8 in 8C3 = 56 ways
The remaining 5 consonants can be arranged in 5!/2! = 5 * 4 * 3 = 60 ways
The total number of ways = 56 * 60 = 3360
Option E
Arun Kumar
General Discussion
19 Feb 2021, 21:26
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CrackVerbalGMAT
M U L T I P L E, has 8 letters, with 5 consonants (L repeated twice) and 3 Vowels.
The Vowels in the 2nd, 5th and 7 places. These can be arranged in 3! = 6 ways.
The remaining 5 consonants can be arranged in 5!/2! = 5 * 4 * 3 = 60 ways
The total number of ways = 6 * 60 = 360
Option C
Arun Kumar
The Vowels in the 2nd, 5th and 7 places. These can be arranged in 3! = 6 ways.
The remaining 5 consonants can be arranged in 5!/2! = 5 * 4 * 3 = 60 ways
The total number of ways = 6 * 60 = 360
Option C
Arun Kumar
CrackVerbalGMAT
Could the question also mean that the vowels remain fixed in their places? If thats the case the answer would be 60. I understand your POV as well, but I feel it would be clearer if it said something like vowels's relative position to the consonants is fixed.
