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Joined: 11 Oct 2017
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Each item sold at a market is labelled with a 2, 3, or 4 digit code
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09 Nov 2017, 18:19
Question Stats:
74% (02:11) correct 26% (01:57) wrong based on 120 sessions
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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
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Re: Each item sold at a market is labelled with a 2, 3, or 4 digit code
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09 Nov 2017, 19:35
ladyrenee95 wrote: 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 2digit code = 9*9 3digit code = 9*9*9 4digit 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 Eans E
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Re: Each item sold at a market is labelled with a 2, 3, or 4 digit code
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09 Nov 2017, 23:19
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
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Re: Each item sold at a market is labelled with a 2, 3, or 4 digit code
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14 Nov 2017, 07:20
ladyrenee95 wrote: 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 The number of 2digit codes is 9 x 9 = 9^2, the number of 3digit codes is 9 x 9 x 9 = 9^3, and the number of 4digit codes is 9 x 9 x 9 x 9 = 9^4, so the total number of codes is: 9^2 + 9^3 + 9^4 = 9^2(1 + 9 + 9^2) = 81(91) = 7371 Answer: E
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Re: Each item sold at a market is labelled with a 2, 3, or 4 digit code
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23 Nov 2018, 08:53
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Re: Each item sold at a market is labelled with a 2, 3, or 4 digit code
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