Stair Climbing Step Combinations

1500AdeptCombinatoricsCounting Principles

AMC 8 · 2010 · Problem 25

Everyday at school, Jo climbs a flight of $6$ stairs. Jo can take the stairs $1$, $2$, or $3$ at a time. For example, Jo could climb $3$, then $1$, then $2$. In how many ways can Jo climb the stairs?

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