olymmath

Putnam 2018 B6

  • Session B

Let SS be the set of sequences of length 20182018 whose terms are in the set {1,2,3,4,5,6,10}\{1,2,3,4,5,6,10\} and sum to 38603860. Prove that the cardinality of SS is at most 23860⋅(20182048)2018.2^{3860} \cdot \left( \frac{2018}{2048} \right)^{2018}.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

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