Answer :

Let Suppose 4 digit number as 4 boxes as shown below.First Box is at 1000^{th}place, the Second box is at 100^{th} place, the Third box is at 10^{th} place, and Fourth box is at 1^{st} place.

The 1^{st} box can be filled with four numbers(2, 3, 4, 5) if we include 0 in the 1^{st} box then it becomes 3 digit number(i.e. 0234 is 3 digit number, not 4 digits)

The 2^{nd} box can be filled with five numbers(0, 2, 3, 4, 5) as repetition is allowed.

Similarly, the 3^{rd} box can be filled with five numbers(0, 2, 3, 4, 5) as repetition is allowed.

Similarly, the 4^{th} box can be filled with five numbers(0, 2, 3, 4, 5) as repetition is allowed.

__Total number of ways is 4 × 5 × 5 × 5 = 500__

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