The number of 4 - digit numbers is:

                    (9999 - 1000): 1 + 1 = 9000 (number)
If you do not use numbers 2 and 3, then you have eight digits left to form units, tens and hundreds. Since zeros can not be used to make thousands of digits, there are only seven digits left to make thousands.

According to the kernel rule, we have:

               8 x 8 x 8 x 7 = 3584 (number)
Inference: A 4-digit number containing two digits, or three or both, is                 9000 - 3584 = 5416 (number).