The total number of numbers greater than 1000 but less than 4000 that can be formed using 0,2,3,4 (using repetition allowed) are

Step-by-step solution

Since, numbers should be greater than 1000 but less than 4000 . The first digit must be either 2 or 3 . It is clear that required numbers must be 4 digit numbers. Now, there are four choices (0,2,3,4) , for each unit, ten and hundred place digit. aligned Thus, total number & = ^2 C₁ 4 4 4 & =2 4 4 4=128 aligned