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IMSO 2023 Mathematics – International Essay Question 12

IMSO Maths · IMSO 2023 Mathematics – International Essay

Question 12

Andy, Benn, Chloe, and Drian want to distribute 14 identical balls among them with following rules:
- Every person must get at least one ball.
- No one can have more balls than the sum of the balls from the other three people.

In how many ways can the balls be distributed?