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03 Mar 2021, 05:30
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
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Question Stats:
63% (01:52) correct
38%
(02:00)
wrong
based on 80
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Date
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In how many of the arrangements of the letters of the word PRECISION do the vowels occupy even places ?
A. 120
B. 720
C. 1080
D. 1440
E. 2880
A. 120
B. 720
C. 1080
D. 1440
E. 2880
03 Mar 2021, 06:00
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PRECISION has 9 letters containing 5 consonants (P R C S N) and 4 vowels (E I I O), I being repeated twice
Since we have a restriction that vowels have to occupy even places, we need to satisfy the condition.
The 4 vowels can occupy the 4 even spaces (2nd, 4th, 6th and 8th places) in 4! / 2! = 12 ways
The 5 consonants can occupy the odd places in 5! = 120 ways
Total number of ways = 120 * 12 = 1440
Option D
Arun Kumar
Since we have a restriction that vowels have to occupy even places, we need to satisfy the condition.
The 4 vowels can occupy the 4 even spaces (2nd, 4th, 6th and 8th places) in 4! / 2! = 12 ways
The 5 consonants can occupy the odd places in 5! = 120 ways
Total number of ways = 120 * 12 = 1440
Option D
Arun Kumar
21 Mar 2023, 18:17
Kudos
Bookmarks
CrackverbalGMAT
PRECISION has 9 letters containing 5 consonants (P R C S N) and 4 vowels (E I I O), I being repeated twice
Since we have a restriction that vowels have to occupy even places, we need to satisfy the condition.
The 4 vowels can occupy the 4 even spaces (2nd, 4th, 6th and 8th places) in 4! / 2! = 12 ways
The 5 consonants can occupy the odd places in 5! = 120 ways
Total number of ways = 120 * 12 = 1440
Option D
Arun Kumar
Since we have a restriction that vowels have to occupy even places, we need to satisfy the condition.
The 4 vowels can occupy the 4 even spaces (2nd, 4th, 6th and 8th places) in 4! / 2! = 12 ways
The 5 consonants can occupy the odd places in 5! = 120 ways
Total number of ways = 120 * 12 = 1440
Option D
Arun Kumar
Do you divide by 2! to reflect the repeating letter "I"? Could you kindly elaborate on how to approach such problems in general?
