Give a quick stream of consciousness before answering the following question. In a staircase, there ar 10 steps. A child is attempting to climb the staircase. Each time she can either make 1 step or 2 steps. In how many different ways can she climb the staricase?
Options:
(A) 23
(B) 277
(C) 18
(D) 178
(E) 181
Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89
The answer: (B).