# A staircase has 10 steps , you can walk up taking one or two steps at a time . how many ways can go up to top of stair ?

+1 vote
170 views
posted May 14, 2015

## 1 Solution

10C0 + 9C1 + 8C2 + 7C3 + 6C4 + 5C5
= 1+9+28+35+15+1
= 89

solution May 14, 2015
Sir , i didn't got your solution ,
my solution is of fibonacci series , like for 1step ==1 , 2nd step 1+1 or 2 ==2ways , 3rd step  1+1+1 or 1+2 or 2+1 ==3ways , so ,1,2,3,5,8,13,21,34,55,89 ,  for 10th step 89 ways .
I just tried for two three numbers and saw this logic is arriving (not sure why), but fibonacci  series is more logical :) thanks for asking great puzzle.
I am glad to be of help :)

Similar Puzzles
+1 vote

Garima takes the underground train to work and uses an escalator at the railway station. If Garima runs up 8 steps of the escalator, then it takes her 30.0 seconds to reach the top of the escalator. If she runs up 15 steps of the escalator, then it takes her only 12.5 seconds to reach the top.

How many seconds would it take Garima to reach the top if she did not run up any steps of the escalator at all?