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MathNet 2026 — Part 01 Question 98

Math Olympiad Vault · MathNet 2026 — Part 01

Question 98

Santa Claus arrived at the house of Arnaldo and Bernaldo carrying ten distinct and numbered toys listed from 1 to 10 and said to them: "Toy number 1 is for you, Arnaldo and toy number 2 is for you, Bernaldo. You can choose to have more toys as long as you leave at least one for me." Tell us how many ways Arnaldo and Bernaldo can divide the rest of the toys between them.