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AIMO 2021 Secondary 1 — Preliminary (Open Trial 1) Question 14

AIMO · AIMO 2021 Secondary 1 — Preliminary (Open Trial 1)

Question 14

Mrs. Hanna divides 12 candies among 3 children so that each child receives at least one. How many distributions are possible?

Original printed choices: A: 12; B: 20; C: 28; D: 24.

Editorial response format: give the exact answer; the original choices are retained for reference.

Convention: Treat the candies as identical and the three children as distinct. Give the number of distributions.