Modular nCr using Fermat’s Little Theorem | Beginner Friendly Explanation | Code | codestorywithMIK
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This is the 4th video of our playlist "Maths Concepts & Questions". Find the Details below:
Video Name: Modular nCr using Fermat’s Little Theorem | Beginner Friendly Explanation | Code | codestorywithMIK
Video #: 4
🔍 Mastering Maths for Coding: Simplified & Powerful.
🎥 Welcome to the 4th Video of my Maths Concepts Playlist!
🚀 In this important session, we’ll dive into Fermat's Little Theorem — an essential concept used to solve modular inverse problems, especially for modular nCr in coding challenges.
🔍 What's Inside?
In Modular Arithmetic, we can’t divide directly — so how do we calculate things like r!(n−r)!10!modp?
That’s where Fermat’s Little Theorem becomes a powerful tool!
We’ll cover:
Why we can’t divide normally in modular arithmetic
The concept of modular inverse and how to find it
Using Fermat’s Theorem to simplify division in modulo
Full code walkthrough of nCr(n, r) modulo a prime number
How it’s applied in DSA & Competitive Programming
👨 🏫 Explained with beginner-friendly language, clean code, and helpful math intuition!
👩 💻 Who Should Watch?
Anyone preparing for coding interviews, DSA practice, or competitive programming problems where modular arithmetic plays a role — this is your go-to concept!
🚀 Let’s simplify Maths and use it like a pro in your next coding challenge.
📌 My Other Playlists
My DP Concepts Playlist: • Roadmap for DP | How to Start DP ? | ...
My Graph Concepts Playlist: • Graph Concepts & Qns - 1 : Graph will...
My Recursion Concepts Playlist: • Introduction | Recursion Concepts And...
Trie Playlist : • Word Search II (Google, Amazon, Meta,...
Difference Array Technique: • Introduction | What | How | Differenc...
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Summary :
In this video, I have explained how Fermat’s Little Theorem helps us find the modular inverse, which allows us to calculate nCr under modulo when direct division isn’t allowed.
Using the formula (a^M−2) % M (for prime M), we compute modular inverses efficiently. I’ve also walked through the nCr function implementation, commonly used in DSA questions involving combinations.
By the end of this video, you’ll understand how to avoid division errors and compute combinations with modulus like a pro - a key trick for interview & CP success!
✨ Timelines✨
00:00 - Introduction
0:16 - Motivation
0:35 - Topic Name
1:05 - Basic Arithmetic Vs Modular Arithmetic
2:32 - nCr
4:29 - Why do we need this ?
6:56 - What is Modular Inverse of a Mod M
9:33 - Fermat's Little Theorem
15:00 - Coding it up
21:27 - Application Leetcode Problem
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