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21 May 2021, 08:15
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
69% (02:00) correct
31%
(02:30)
wrong
based on 85
sessions
History
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How many options are there for license plate numbers if each license plate can include 2 digits and 3 letters (in that order), or 3 digits and 2 letters (in that order)? (Note: there are 26 letters in the alphabet)
A. 37×260^2
B. 36×260^2
C. 36×270^2
D. 10^2×26^3
E. 10^3×26^2
A. 37×260^2
B. 36×260^2
C. 36×270^2
D. 10^2×26^3
E. 10^3×26^2
21 May 2021, 08:26
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There are 10 digits and 26 alphabets.
First case: 10*10*26*26*26 = 2600*26*26
Second case: 10*10*10*26*26 = 1000*26*26
Total options available = First case + Second case = (2600+1000)*26*26 = 3600*26*26 = 36*10*10*26*26 = 36*(260)^2.
Answer : Option B
First case: 10*10*26*26*26 = 2600*26*26
Second case: 10*10*10*26*26 = 1000*26*26
Total options available = First case + Second case = (2600+1000)*26*26 = 3600*26*26 = 36*10*10*26*26 = 36*(260)^2.
Answer : Option B
21 May 2021, 09:35
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Asked: How many options are there for license plate numbers if each license plate can include 2 digits and 3 letters (in that order), or 3 digits and 2 letters (in that order)? (Note: there are 26 letters in the alphabet)
Number of options = 10*10*26*26*26 + 10*10*10*26*26 = 10^2*26^2*36 = 36*260^2
IMO B
Number of options = 10*10*26*26*26 + 10*10*10*26*26 = 10^2*26^2*36 = 36*260^2
IMO B
