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2024 AMC 10B Question 17

AMC10 · 2024 AMC 10B

Question 17

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?
  1. $180$
  2. $361$
  3. $420$
  4. $431$
  5. $720$