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How many four digit numbers can be formed using the digits 0123456789 if the repetitions of digits are allowed
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If you don’t mind beginning the 4-digit number with one or more zeros, then
there are 10 choices for each digit, and the total number of possibilities is:
(10 x 10 x 10 x 10) = 10,000 .
If the 4-digit number can’t begin with a zero, then there are only 9 choices for
the first digit, but 10 choices for each of the others, and the total number of
possibilities is:
(9 x 10 x 10 x 10) = 9,000 .