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How many four digits numbers greater than 6000 can be made using the digits 0, 4, 2, 6 together with repetition.

Correct Answer: 63

Explanation:

Given digits are 0, 4, 2, 6


Required 4 digit number should be greater than 6000.


So, first digit must be 6 only and the remaining three places can be filled by one of all the four digits.


This can be done by


1x4x4x4 = 64


Greater than 6000 means 6000 should not be there.


Hence, 64 - 1 = 63.


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