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09 Nov 2017, 18:19
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E
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:
77% (02:02) correct
23%
(02:02)
wrong
based on 189
sessions
History
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Not Attempted Yet
Each item sold at a market is labelled with a 2-, 3-, or 4- digit code where each digit is selected from the digits 1 through 9, inclusive. If the digits may be repeated and if the same digits used in a different order represent a different code, how many different items at the market can be labeled with a unique code?
A. 216
B. 504
C. 3,024
D. 3,600
E. 7,371
Ready4GMAT app
A. 216
B. 504
C. 3,024
D. 3,600
E. 7,371
Ready4GMAT app
09 Nov 2017, 19:35
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ladyrenee95
Each item sold at a market is labelled with a 2-, 3-, or 4- digit code where each digit is selected from the digits 1 through 9, inclusive. If the digits may be repeated and if the same digits used in a different order represent a different code, how many different items at the market can be labeled with a unique code?
A. 216
B. 504
C. 3,024
D. 3,600
E. 7,371
Ready4GMAT app
A. 216
B. 504
C. 3,024
D. 3,600
E. 7,371
Ready4GMAT app
2-digit code = 9*9
3-digit code = 9*9*9
4-digit code = 9*9*9*9
total = \(9*9+9*9*9+9*9*9*9=9*9(1+9+9*9)=81*(1+9+81)=81*91\)
no more calculations required ..
UNIT's digit will be 1*1=1 and only choice with units digit as 1 is E
ans E
09 Nov 2017, 23:19
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9∗9+9∗9∗9+9∗9∗9∗9=9∗9(1+9+9∗9)=81∗(1+9+81)=81∗91
answer should be E , the only answer has last digit 1
answer should be E , the only answer has last digit 1
