The access code to a house’s security system consists of five digits

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How many different codes is possible if each digit can be repeated? What is the probability of guessing the correct code in one trial?

Please explain how you got the answer.

May 28th, 2015

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100000. Don't forget that 000000 is a possible code. Think about it: if there were 1 digit, there would be ten possible codes (0 through 9) or 10^1. If there were two digits, there would be 100 possible codes (0 through 99) or 10^2. Since there are five digits, there are 10^5 or 100000 possible codes.

May 28th, 2015

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May 28th, 2015
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