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06 Jan 2021, 10:12
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:29) correct
24%
(01:52)
wrong
based on 149
sessions
History
Date
Time
Result
Not Attempted Yet
How many three-letter words can be constructed using all the 26 letters of the English alphabet if only the middle letter of each word is a vowel (a, e, i, o, u) and the repetition of the letters is allowed?
(A) 9261
(B) 2400
(C) 2205
(D) 441
(E) 105
(A) 9261
(B) 2400
(C) 2205
(D) 441
(E) 105
rocky620
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Location: India
Concentration: General Management, Strategy
Schools: IIMA PGPX'22 IIMB EPGP'22 IIMC PGPEX'22 ISB'22
GMAT 1: 590 Q49 V22
WE:Other (Retail: E-commerce)
06 Jan 2021, 10:32
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First place can be taken in (26-5) ways
Second place can be taken in 5 ways (vowels)
Third place can be taken in (26-5) ways
Total formations can be = 21*5*21 (as repetitions are allowed) = >2205
IMO Option C
Second place can be taken in 5 ways (vowels)
Third place can be taken in (26-5) ways
Total formations can be = 21*5*21 (as repetitions are allowed) = >2205
IMO Option C
06 Jan 2021, 13:49
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Given, _ _ _
1st letter = 21C1, 2nd letter = 5C1 and 3rd letter = 21C1
So, No. of ways = 21*5*21= 2205.
I think C.
1st letter = 21C1, 2nd letter = 5C1 and 3rd letter = 21C1
So, No. of ways = 21*5*21= 2205.
I think C.
