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15 May, 11:32

Employees at a company are given a three digit employee identification code. If each digit cannot be repeated, how many different codes are possible?

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  1. 15 May, 12:13
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    720 codes.

    There are 10 digits possible for the first digit of the code.

    Since there can be no repeated digits, you subtract 1 and find there are only 9 possible digits for the second digit in the code.

    Finally, subtract 1 again to find there are only 8 possible digits for the last digit.

    Multiply these together to find the number of combinations.

    10 * 9 * 8

    90 * 8

    720

    So, there are 720 combinations if digits cannot be repeated.
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