To find the number of permutations of 10 digits, we can consider the digits 0 through 9. Since there are 10 unique digits, we can calculate the number of ways to arrange them using the factorial of the number of digits.
The formula for permutations of n distinct objects is given by n!, which means n factorial. For our case:
10! = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 3,628,800
This means there are a total of 3,628,800 different ways to arrange the 10 digits. Each arrangement is unique since the ordering of the digits matters. Thus, the answer is that there are 3,628,800 permutations of the 10 digits.