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How many numbers greater than 1000, but not greater than 4000 can be formed with the digits 0, 1, 2, 3, 4, repetition of digits being allowed?

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Given, Numbers are 0, 1, 2, 3, 4
As, numbers should be greater than 1000, but not greater than 4000
It means, Number in First Place can be 1, 2, 3, 4(remaining places should be zero)
After placing First Numbers as 1 , Other places Can be filled by any five numbers (repetition is allowed)
Number of ways
Numbers having 1 in the first place is 124
Number having 2 or 3 in the first place are 125
Number having 4 in the first place is 1
Therefore, Total Number of Such numbers is

Final Answer:
Hence, 375 numbers greater than 1000, but not greater than 4000 can be formed with the digits 0, 1, 2, 3, 4.

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