Frog staircase: Difference between revisions

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Created page with 'First saw this gem in PProblem SSSolving. ==Puzzle== A frog must climb a 10 step staircase. He can hop up either one step or two steps at a time. How many ways are there for…'
 
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==Puzzle==
==Puzzle==
A frog must climb a 10 step staircase.  He can hop up either one step or two steps at a time.  How many ways are there for him to make it to the top?
A frog must climb a 10 step staircase.  He can hop up either one step or two steps at a time.  How many ways are there for him to make it to the top?
<spoiler>89 ways.</spoiler>


[[Category:Pattern recognition]]
[[Category:Pattern recognition]]
[[Category:Induction]]
[[Category:Induction]]
[[Category:Fibonacci]]
[[Category:Fibonacci]]

Revision as of 12:19, 29 March 2010

First saw this gem in PProblem SSSolving.

Puzzle

A frog must climb a 10 step staircase. He can hop up either one step or two steps at a time. How many ways are there for him to make it to the top?

<spoiler>89 ways.</spoiler>