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Climb Staircase Puzzle

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Climb Staircase Puzzle Empty Climb Staircase Puzzle

Post  ballu Sun Feb 01, 2009 10:34 pm

U can climb a staircase in steps of one or two
In how many ways can u reach the top of n stepped staircase
ballu
ballu

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Join date : 2009-02-01

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Climb Staircase Puzzle Empty Re: Climb Staircase Puzzle

Post  ramthegreatcv Mon Feb 02, 2009 1:10 am

it's the famous Fibonacci series.

To reach the last step the person has to be at (n-1)th step or (n-2)th step.

So in this fashion, we have to find the number of ways to climb to the (n-1)th step + number of ways to climb to the (n-2)th step.

This is our famous fibonacci series.

for more details look for problem 45 in http://www.qedcat.com/puzzle_long_3.pdf
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