Numbers greater than 1000 but less than 4000 are formed using the digits 0,1,2,3,4 (repetition allowed). Their number is:
Solutions · 1
Official solution
First digit ∈{1,2,3} (to be between 1000 and 4000): 3 choices. Remaining 3 digits each have 5 choices (0--4, repetition allowed): 53=125.
\[\text{Total} = 3\times125 = 375\]
Excluding the number 1000 itself is not applicable here since 1000 is not strictly greater than 1000:
\[\text{Total} = 375-1 = 374\]