Latest TCS Aptitude Question SOLUTION: In a staircase , there are 10 steps . A child is attempting to climb the staircase. Each time, she can either make 1 or 2 steps. In how many different ways can she climb the stairc

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In a staircase , there are 10 steps . A child is attempting to climb the staircase. Each time, she can either make 1 or 2 steps. In how many different ways can she climb the staircase?

option
a)10 b)21 c)26 d)None of these

Asked In TCS KokilA (8 years ago)

Unsolved Read Solution (10)

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Read Solution (10) :

Rajalakshmi  (8 years ago)

Formula for this 10C1+10C2=10+45 Gives 55 is not in answer option

Is this solution Helpfull? Yes (12) | No (2)  

Piyalichatterjee  (8 years ago)

She can clim in a+2b=10 ways (a is 1 step and b is taking 2 steps)
So she if she is making 0 1steps den she has take 5 2steps for reaching 10th step den combination is 5c5 =1
Again for (2,4) : 6c4 =15
And for (4,3) : 7c3=35
For (6,2) : 8c2= 28
For (8,1) : 9c1 =9
For (10,0) 10c10=1
So total 1+15+35+28+1 = 89 that is option d) none of these

Is this solution Helpfull? Yes (7) | No (2)  

Abhishek Sharma  (8 years ago)

Use fibonnacci series, with starting two terms as 1, 2. So next terms are 3, 5, 8, 13, 21, 34, 55, 89

Is this solution Helpfull? Yes (3) | No   

priya paul  (8 years ago)

1, 2, 5,7,9..... this is a Fibonacci series . to consider this series to clime the staircase using 10 steps in no of different ways is not matched to the given 3 option values. ....
hence answer is none of this.

Is this solution Helpfull? Yes (2) | No (4)  

Aayasha Sonune  (7 years ago)

10C1+10C2=10+45
=55

Is this solution Helpfull? Yes (2) | No   

SAMBHAVI PATHAK  (8 years ago)

d)none of these

Is this solution Helpfull? Yes (1) | No (2)  

Shankar kumar  (7 years ago)

10C1+10c2=55

Is this solution Helpfull? Yes (1) | No   

Fairlin Jenefa  (8 years ago)

none of these

Is this solution Helpfull? Yes | No (1)  

gurkirat singh  (7 years ago)

c)26 as 1 or 2 steps , there is 10 stairs
so 1 case becomes of 1 step all and 25 cases become acorrding to different 2steps so answer is 26.

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Sushanth  (7 years ago)

In 89 ways she can climb.so answer is None of These...

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