Ringo has 55 cards with the numbers 2,3,4,52,3,4,5 and 66 on them. He wrote a list of all possible two-digit numbers that can be made with these cards.Find the sum of all numbers in his list.

To solve this problem, we need to consider all possible two-digit numbers that can be formed with the given numbers. The numbers are 2, 3, 4, 5, 52, 3, 4, 5, and 66. However, the numbers 52 and 66 are already two-digit numbers, so we only need to consider the single-digit numbers for forming new two-digit numbers.

The single-digit numbers are 2, 3, 4, and 5. We can form two-digit numbers by choosing any two of these numbers and arranging them in two ways (for example, if we choose 2 and 3, we can form the numbers 23 and 32).

There are 6 combinations of two different numbers that can be chosen from the four single-digit numbers (2, 3, 4, 5). For each combination, we can form two different two-digit numbers. So, we have a total of 6 * 2 = 12 two-digit numbers formed from different digits.

Additionally, we can form four two-digit numbers that have the same digits (22, 33, 44, 55). So, we have a total of 12 + 4 = 16 two-digit numbers.

Now, we need to find the sum of all these numbers. We can do this by adding up all the numbers:

23 + 32 + 24 + 42 + 25 + 52 + 34 + 43 + 35 + 53 + 45 + 54 + 22 + 33 + 44 + 55 = 660

So, the sum of all the two-digit numbers that can be formed is 660.