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

Numbers must be 4-digit, between 1000 and 4000, using digits 0, 2, 3, 4 with repetition allowed. First digit d₁ : must be 2 or 3 (not 0, and not 4 since that gives 4000 or above) 2 choices. d₂, d₃, d₄ : each can be any of 0, 2, 3, 4 4 choices each. Total = 2 4 4 4 = 128