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4 March, 00:12

How many 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, if repetitions of digits are allowed?

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  1. 4 March, 00:38
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    There are 6 digits. Each digit can take ten different numbers except for the first digit since it cannot be zero.

    So:

    9 x 10 x 10 x 10 x 10 x 10

    900000 numbers.

    Another way of thinking about this is to just count up to 999,999. Obviously there are 999,999 different numbers here. But since our number has to have 6 digits in them, we have to delete 99,999 numbers. Thus there are 900,000 different numbers.
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