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28 August, 20:47

The access code for a car's security system consists of five digits. the first digit cannot be 1 and the last digit must be even. how many different codes are available?

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  1. 28 August, 22:34
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    There are 10 single digit numbers that can be used for each digit.

    The first digit cannot be 1, so that leaves 9 other possibilities.

    The last digit must be even, so it can be 0, 2, 4,6, 8 (5 possibilities).

    The 3 middle numbers can be any digit (10 numbers)

    To find total combinations multiply all the possible numbers for each digit:

    9 x 10 x 10 x 10 x 5 = 45,000 possibilities.
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