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In how many ways can be letters of the word MULTIPLE be arranged
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Bunuel
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In how many ways can be letters of the word MULTIPLE be arranged [#permalink] New post  12 Feb 2021, 08:30
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A
B
C
D
E

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35% (medium)

Question Stats:

58% (01:21) correct 42% (01:35) wrong based on 19 sessions

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In how many ways can be letters of the word MULTIPLE be arranged keeping the position of each vowel fixed ?

A. 60
B. 90
C. 360
D. 1860
E. 3360


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In how many ways can be letters of the word MULTIPLE be arranged [#permalink] New post  Updated on: 19 Feb 2021, 19:51
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Bunuel wrote:
In how many ways can be letters of the word MULTIPLE be arranged keeping the position of each vowel fixed ?

A. 60
B. 90
C. 360
D. 1860
E. 3360



The consonants are M, L, T, P, L, and the vowels are U, I, E, we want to fix the vowels so we can only switch around the 5 consonants. There are 5 letters but two are duplicates, so do 5! first then divide by 2 to account for duplicates. 5!/2 = 60.

Ans: A
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Originally posted by TestPrepUnlimited on 12 Feb 2021, 09:50.
Last edited by TestPrepUnlimited on 19 Feb 2021, 19:51, edited 1 time in total.
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Kinshook
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Re: In how many ways can be letters of the word MULTIPLE be arranged [#permalink] New post  19 Feb 2021, 19:35
Asked: In how many ways can be letters of the word MULTIPLE be arranged keeping the position of each vowel fixed ?

Vowels U, I & E are at fixed locations.
Consonants M, L, T, P & L are to be arranged where L appears twice.
Number of words formed = 5!/2! = 60

IMO A

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