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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, 17:19
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Question Stats:
70% (02:12) correct 30% (02:05) wrong based on 89 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?
Re: Each item sold at a market is labelled with a 2-, 3-, or 4- digit code
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09 Nov 2017, 18:35
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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?
Re: Each item sold at a market is labelled with a 2-, 3-, or 4- digit code
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14 Nov 2017, 06:20
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 2-digit codes is 9 x 9 = 9^2, the number of 3-digit codes is 9 x 9 x 9 = 9^3, and the number of 4-digit codes is 9 x 9 x 9 x 9 = 9^4, so the total number of codes is:
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70% (02:12) correct 
