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Full-length FE mock with insightful analytics, weakness diagnosis, and video explanations!
05 Jan 2021, 00:25
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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:
55%
(hard)
Question Stats:
60% (01:33) correct
40%
(01:52)
wrong
based on 214
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ID codes issued by XYZ high school have 5 characters. First 2 characters of the ID codes are vowels and next 3 characters are digits. If ID code of no two students is same, then what is the maximum number of students in XYZ high school?
A. 12,500
B. 14,400
C. 25,000
D. 144,000
E. 250,000
A. 12,500
B. 14,400
C. 25,000
D. 144,000
E. 250,000
05 Jan 2021, 00:47
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Bunuel
ID codes issued by XYZ high school have 5 characters. First 2 characters of the ID codes are vowels and next 3 characters are digits. If ID code of no two students is same, then what is the maximum number of students in XYZ high school?
A. 12,500
B. 14,400
C. 25,000
D. 144,000
E. 250,000
Since a digit or a vowel can repeat itself and ID code would still be a unique code, following existsA. 12,500
B. 14,400
C. 25,000
D. 144,000
E. 250,000
Ways to chose 2 vowels = 5*5
Ways to chose 3 digits = 10*10*10
Total number of ID Codes(students) = 25*1000
= 25000
Answer C.
DanAustin
Joined: 20 Oct 2020
Last visit: 09 Feb 2021
Posts: 7
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Location: India
Schools: IIMA PGPX'22 Rotman '22 Ivey '22
05 Jan 2021, 11:03
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IMO its C . 25000 .
five vowels can be used in two positions 5x5
10 digits can be used at three positions 10x10x10
= 25000.
New Here , please support and give kudos
five vowels can be used in two positions 5x5
10 digits can be used at three positions 10x10x10
= 25000.
New Here , please support and give kudos
