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MathNet 2018-part-07 — 177 problems (EN–VI) Question 56

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 56

Allen and Yang want to share the numbers $1,2,3,4,5,6,7,8,9,10$. How many ways are there to split all ten numbers among Allen and Yang so that each person gets at least one number, and either Allen's numbers or Yang's numbers sum to an even number?