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AMO · 2027 · Grades 8-9 · Self-study SET 22 Question 6

AMO

Question 6

A cricket climbs a staircase by jumping either 1 or 2 steps each time. In how many different ways can it climb an 8-step staircase? For example, a 3-step staircase has exactly three ways: $1+1+1$, $1+2$, and $2+1$. The order of jumps matters. Enter the number of ways.