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2024 AMC 8 Question 13

AMC8 · 2024 AMC 8

Question 13

Buzz Bunny is hopping up and down a set of stairs, one step at a time. In how many ways can Buzz start on the ground, make a sequence of $6$ hops, and end up back on the ground? (For example, one sequence of hops is up-up-down-down-up-down.)
  1. $4$
  2. $5$
  3. $6$
  4. $8$
  5. $12$