In how many ways can an elf climb a staircase of 15 stairs if each step it takes can cover 1 or 2 or 3 stairs? Explain why your solution is valid. (Hint: Work on fewer number of stairs first and try to generalize.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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In how many ways can an elf climb a staircase of 15 stairs if each step it takes can cover 1 or 2 or 3 stairs? Explain why your solution is valid. (Hint: Work on fewer number of stairs first and try to generalize.) 

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