To determine the number of permutations of 4 digits, we need to consider how many ways we can arrange these digits. In mathematics, the permutation of a set refers to the different ways in which a set can be arranged.
Assuming that we are using the digits 0 through 9 and we can use each digit only once, we can select the first digit in 10 ways (any digit from 0 to 9). After selecting the first digit, we will have 9 digits left for the second digit. For the third digit, we will have 8 remaining choices, and for the fourth digit, there will be 7 choices left.
Thus, the total number of permutations can be calculated as:
10 × 9 × 8 × 7 = 5040
This means there are 5,040 different ways to arrange 4 distinct digits taken from 10 possible digits. If you had other constraints, like allowing repeated digits or using a specific range of digits, the answer would be different.