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AMO · 2027 · Grades 6-7 · Self-study SET 27 Question 2

AMO

Question 2

Each of the whole numbers 1 through 9 is written on a separate card. Three cards are given to each of three players. How many ways can the cards be given so that Player One’s cards sum to 8 and Player Two’s cards sum to 15? Cards within a player’s hand are unordered.

**Input:** Enter the integer only, without units.