Permutation and Combination Calculator
📌 What is a Permutation and Combination Calculator?
A Permutation and Combination Calculator is a smart online math tool that helps you calculate arrangements (permutations) and selections (combinations) from a set of items—quickly and accurately.
Permutation (nPr): The number of ways to arrange items where order matters.
Combination (nCr): The number of ways to choose items where order doesn’t matter.
Whether you’re preparing for exams like SAT, ACT, GRE, IB, or just brushing up on high school math, this tool saves time and avoids errors.
🎯 Why Use a Permutation and Combination Calculator?
✅ Speed & Accuracy:
No need to memorize or manually compute factorials. This tool delivers instant results.
✅ User-Friendly Interface:
Just enter n (total items) and r (chosen items), and the calculator handles the rest.
✅ Learning Boost:
Understand the concepts of permutations and combinations with instant outputs and optional steps.
✅ Useful for Exam Prep & Real-Life Applications:
Perfect for solving problems related to:
Probability
Statistics
Combinatorics
Game theory
Cryptography
College entrance exams
🛠️ How to Use the Calculator?
Enter the value of n (total items).
Enter the value of r (items selected).
Choose between Permutation (nPr) or Combination (nCr).
Click “Calculate” and get your result instantly!
📘 Example Problems:
🔹 Example 1: Permutation (nPr)
Q: In how many ways can 3 students be selected from a group of 6 for 3 different positions?
A: Use nPr = 6P3 = 6! / (6-3)! = 120 ways
🔹 Example 2: Combination (nCr)
Q: From a group of 8 books, how many ways can you choose 3 to read, regardless of the order?
A: Use nCr = 8C3 = 56 ways
🔥 Real-Life Uses of Permutations & Combinations
Arranging people in seats
Forming committees from teams
DNA sequencing & cryptography
Game theory & decision-making
Lottery probabilities
🤔 Frequently Asked Questions (FAQs)
Q1: What is the difference between permutation and combination?
A: In permutations, order matters. In combinations, order doesn’t matter.
Q2: Can this calculator handle large values of n and r?
A: Yes, it can compute factorials and formulas for values up to around n = 100, depending on your browser’s memory limits.
Q3: Is the tool mobile-friendly?
A: Absolutely. It works seamlessly on desktops, tablets, and smartphones.
Q4: Do I need to install anything?
A: No. It’s a browser-based tool—just open and use!
Q5: Who can benefit from this calculator?
A: Students, teachers, test-prep tutors, researchers, statisticians, and professionals in fields like data science and AI.
🚀 Ready to Get Started?
👉 Use the Permutation & Combination Calculator Now
No signup. No ads. Just accurate answers—instantly.