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Combinatorics 5.0/10

The Broken Step

A staircase has 12 steps. You start at the bottom (step 0) and must finish on step 12, and each stride carries you up exactly 1 or exactly 2 steps. Step 7 is broken: no stride may end on step 7. How many different climbs (sequences of strides) are possible? Give an integer.

Related problems & prerequisites

Worth solving first

Source: Original problem written for AxiomIQ.