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MathNet 2022-part-06 — 196 problems (EN–VI) Question 76

Math Olympiad Vault · MathNet 2022-part-06 — 196 problems (EN–VI)

Question 76

Five cards labeled $1, 3, 5, 7, 9$ are laid in a row in that order, forming the five-digit number $13579$ when read from left to right. A swap consists of picking two distinct cards, and then swapping them. After three swaps, the cards form a new five-digit number $n$ when read from left to right. Compute the expected value of $n$.