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2014-09-02T19:08:17+05:30

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The number of 5 digit numbers with no restrictions:  9*9*9*9*9 = 9^5 = 59,049
           because each digit can be any one of the 9 available digits.

the number of 5 digit numbers with no repetition of any digit:
       = 9 * 8 * 7 * 6 * 5  = P(9,5) = permutations of choosing 5 digits out of 9
       = 15,120
The number of 5 digit numbers with at least one digit repeating : 59,049 - 15,120
   =  43939
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