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A rabbit is sitting at the base of a staircase which has 10 steps. It proceeds to the top of the staircase by climbing either one step at a time or two steps at a time. The number of ways it can…

Question and options

A rabbit is sitting at the base of a staircase which has 10 steps. It proceeds to the top of the staircase by climbing either one step at a time or two steps at a time. The number of ways it can reach the top is
  1. 144
  2. 89
  3. 34
  4. 55

Answer and explanation

Correct answer: B - 89
Ways W(n)=W(n-1)+W(n-2), W(1)=1, W(2)=2: 1,2,3,5,8,13,21,34,55,89. W(10)=89.

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