1987 AIME Problem 1

An ordered pair (m,n) of non-negative integers is called "simple" if the addition m+n in base 10 requires no carrying. Find the number of simple ordered pairs of non-negative integers that sum to 1492.

Leading zeroes must be inputted, so if your answer is 34, then input 034

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.