• Skip to primary navigation
  • Skip to content
  • Skip to primary sidebar
  • Skip to secondary sidebar

GoHired

Interview Questions asked in Google, Microsoft, Amazon

Join WeekEnd Online Batch from 4-April-2020 on How to Crack Coding Interview in Just 10 Weeks : Fees just 20,000 INR

  • Home
  • Best Java Books
  • Algorithm
  • Internship
  • Certificates
  • About Us
  • Contact Us
  • Privacy Policy
  • Array
  • Stack
  • Queue
  • LinkedList
  • DP
  • Strings
  • Tree
  • Mathametical
  • Puzzles
  • Graph

building with N steps, we can take 1,2,3 steps calculate number of ways to reach at top of building

March 24, 2014 by Dhaval Dave

Given n stairs, how many number of ways can you climb if u use either 1, 2 or 3 at a time?

When you find any difficult problem first step is to reduce it to very small problem with example
Consider 3 steps. you can take only one at a time. Then number of ways are 1: ie {(1,1,1)}
Consider 2 steps. you can take 1 or 2 at a time. Then number of ways are 2: ie {(1,1), (2)}

Consider 3 steps. you can take 1 or 2 at a time Number of ways : 3 ie : {(1,2),(2,1),(1,1,1)}
Consider 4 steps. you can take 1 or 2 at a time Number of ways : 5
ie {(1,1,1,1), (1,2,1),(1,1,2),(2,1,1),(2,2)}
See carefully 2,3,5……
This makes Fibonacci series

because If we are at Nth step then to reach at bottom (same as climbing) at each step we can decide whether to take N-1 or N-2 step and at each decision further option keeps open.

so Function if we can take 1 or 2 is

F(n) = F(n-1) + F(n-2) ;
Similarly if we can take three steps 1,2 or 3
F(n) = F(n-1) + F(n-2) + F(n-3) ;

Similar Articles

Filed Under: Adobe Interview Questions, problem, Puzzle Tagged With: Mathematical

Reader Interactions

Primary Sidebar

Join WeekEnd Online/Offline Batch from 4-April-2020 on How to Crack Coding Interview in Just 10 Weeks : Fees just 20,000 INR

Join WeekEnd Online/Offline Batch from 4-April-2020

WhatsApp us

Secondary Sidebar

Custom Search

  • How I cracked AMAZON
  • LeetCode
  • Adobe
  • Amazon
  • Facebook
  • Microsoft
  • Hacker Earth
  • CSE Interview

Top Rated Questions

Print all nodes that are at distance k from a leaf node

Find Pythagorean Triplets in an array in O(N)

Doubly linked list

C++ OOPs Part2

25 horses 5 tracks Find 3 fastest puzzle

Maximum of all subarrays of size k

N Petrol bunks or City arranged in circle. You have Fuel and distance between petrol bunks. Is it possible to find starting point so that we can travel all Petrol Bunks

Handle duplicates in Binary Search Tree

Find and print longest consecutive number sequence in a given sequence in O(n)

Leetcode: Merge Intervals

SAP Off Campus Hiring_ March 2015 Computer Skills

Printing intermediate Integers between one element & next element of array

Difference between a LinkedList and a Binary Search Tree BST

Closed Parentheses checker

SAP Off Campus Hiring_ March 2015 Analytical Aptitude

1014 Practice Question of New GRE – Princeton

Reliance Jio Software Developer Interview Experience

Find next greater number with same set of digits

Check Binary Tree is Binary Search Tree or not

Generate next palindrome number

Check if an array has duplicate numbers in O(n) time and O(1) space

Maximum occurred Smallest integer in n ranges

Find the number ABCD such that when multipled by 4 gives DCBA.

Regular Expression Matching

Find min element in Sorted Rotated Array (Without Duplicates)

Serialise Deserialise N-ary Tree

Trie Dictionary

Find position of the only set bit

Number of Islands BFS/DFS

Find the kth number with prime factors 3, 5 and 7

Copyright © 2026 · Genesis Framework · WordPress · Log in