How many four digit numbers can be made using the digits 0123567?

Answer 1

To form a four-digit number using the digits 0, 1, 2, 3, 5, 6, and 7, we must ensure that the first digit is not 0 (to avoid creating a three-digit number). This leaves us with 6 options for the first digit (1, 2, 3, 5, 6, 7). For the remaining three digits, we can use any of the 7 digits (including 0) and can repeat digits. Thus, the total number of four-digit numbers is calculated as follows: (6 \times 7 \times 7 \times 7 = 6 \times 343 = 2058). Therefore, there are 2058 possible four-digit numbers.