Difference between revisions of "2023 SSMO Team Round Problems/Problem 5"
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Latest revision as of 22:25, 15 December 2023
Problem
Joshy is playing a game with a dartboard that has two sections. If Joshy hits the first section, he gets points, and if he hits the second section, he gets points. Assume Joshy always hits one of the two sections. Let be the maximum value that Joshy cannot achieve. Let be the number of positive integer scores Joshy cannot achieve. Let be the number of ways for Joshy to achieve points. Find .