neya wrote:How many integers greater than 999 but not greater than 4000 can be formed with the digits 0,1,2,3 and 4 if repetition of digits is allowed?
1.499
2.500
3.375
4.376
5.501

The smallest integer is 1000 and the largest integer is 4000, both of which are 4 digit integers.
Except from the integer 4000, the thousands place in the 4-digit integer can be any digit from 1, 2, or 3.
Hundreds, tens and units place can be any digit from the 5 digits: 0, 1, 2, 3, and 4
Therefore, no. of 4 digit integers from 1000 to 3999 = 3 * 5 * 5 * 5 = 375
Adding 4000 to these 375 digits, we get the required total no. of integers = 375 + 1 = 376

The correct answer is 4.