1987 AIME Problems/Problem 1
Problem
An ordered pair of non-negative integers is called "simple" if the addition in base requires no carrying. Find the number of simple ordered pairs of non-negative integers that sum to .
Solution
Since no carrying over is allowed, the range of possible values of any digit of is from to the respective digit in (the values of are then fixed). Thus, the number of ordered pairs will be .
See also
1987 AIME (Problems • Answer Key • Resources) | ||
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