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MathNet 2024-part-05 — 168 problems (EN–VI) Question 146

Math Olympiad Vault · MathNet 2024-part-05 — 168 problems (EN–VI)

Question 146

In a race among 5 snails, there is at most one tie, but that tie can involve any number of snails. For example, the result of the race might be that Dazzler is first; Abby, Cyrus, and Elroy are tied for second; and Bruna is fifth. How many different results of the race are possible?
(A) 180 (B) 361 (C) 420 (D) 431 (E) 720