Geeksforgeeks

X

DAYS

:

HOUR

:

MINS

:

SEC

Error

Copied to Clipboard

The problem is to count all the possible paths from top left to bottom right of a **MxN** matrix with the constraints that from each cell you can either move to **right** or **down**.

**Example 1:**

**Input**:
M = 3 and N = 3
**Output:** 6
**Explanation**:
Let the given input 3*3 matrix is filled
as such:
A B C
D E F
G H I
The possible paths which exists to reach
'I' from 'A' following above conditions
are as follows:ABCFI, ABEHI, ADGHI, ADEFI,
ADEHI, ABEFI

**Example 2:**

**Input:**
M = 2 and N = 8
**Output: **8

**Your Task: **

You don't need to read input or print anything. Your task is to complete the function **numberOfPaths()** which takes the integer **M** and integer **N** as input parameters and returns the number of paths..

**Expected Time Complexity:** O(m + n - 1))

**Expected Auxiliary Space:** O(1)

**Constraints:**

1 ≤ M, N ≤ 10

We are replacing the old Disqus forum with the new Discussions section given below.

Click here to view old Disqus comments.

Click here to view old Disqus comments.

Login to report an issue on this page.

We strongly recommend solving this problem on your own before viewing its editorial. Do you still want to view the editorial?

YesLoading...

Number of paths

...