Question 23
A date is called a lucky date if the sum of the digits when it is written in the form MMDDYY is 13. The date March 3, 2025 when written as 030325 is a lucky date because the sum of the digits is 13 and February 4, 2025, when written as 020425 is a lucky date as well because the sum of the digits is 13. However, May 8, 2025 is not a lucky date because the sum of the digits is 20. How many lucky dates are there in 2025?