Carol's odometer reads 032719 km, with all digits being different.How many kilometers must she travel before the digits are all different again?

To solve this problem, we need to find the next number after 032719 that has all different digits.

Step 1: Start from the rightmost digit. Find the first pair of digits from right where the left digit is less than the right digit. In this case, it's the pair (2, 7).

Step 2: Now, find the smallest digit on the right side of 2 (in 719) that is greater than 2. It's 7.

Step 3: Swap 2 and 7. The number becomes 037219.

Step 4: Now, sort the digits on the right side of 7 (in 0327) in ascending order. The digits on the right side of 7 are 3 and 2, which are already in ascending order.

So, the next number with all different digits is 037219.

Therefore, Carol must travel 037219 - 032719 = 4500 kilometers before the digits are all different again.