How many integers, greater than 999 but not greater than 4000, can be - ProProfs Discuss
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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?



A. 499
B. 500
C. 375
D. 376
E. 501

This question is part of GMAT Mock Test
Asked by Meyya on Jan 25, 2017

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1 Answer

John Smith

John Smith

Answered on Jan 25, 2017

376

The smallest number in the series is 1000, a 4-digit number. The largest number in the series is 4000, the only 4-digit number to start with 4. The left most digit (thousands place) of each of the 4 digit numbers other than 4000 can take one of the 3 values 1 or 2 or 3. The next 3 digits (hundreds, tens and units place) can take any of the 5 values 0 or 1 or 2 or 3 or 4. †Hence, there are 3 5 5 5 or 375 numbers from 1000 to 3999 . Including 4000, there will be 376 such numbers.
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