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MathNet 2023-part-04 — 191 problems (EN–VI) Question 140

Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)

Question 140

There are three novel series Peter wishes to read. Each consists of $4$ volumes that must be read in order, but not necessarily one after the other. Let $N$ be the number of ways Peter can finish reading all the volumes. Find the sum of the digits of $N$. (Assume that he must finish a volume before reading a new one.)