Math Gold Medalist
Lor
2024 AMC 8
Problem 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 hops, and end up back on the ground? (For example, one sequence of hops is up-up-down-down-up-down.)
Casework
If we consider from left then number of Ups>=number of Downs
.
Solution