Open App

JEE Exam > JEE Videos > Mathematics (Maths) for JEE Main & Advanced > Derivation of Permutation Formula

Derivation of Permutation Formula Video Lecture | Mathematics (Maths) for JEE Main & Advanced

FAQs on Derivation of Permutation Formula Video Lecture - Mathematics (Maths) for JEE Main & Advanced

1. What is the permutation formula?

Ans. The permutation formula is a mathematical formula used to calculate the number of ways to arrange a set of objects in a specific order. It is denoted by nPr, where n represents the total number of objects and r represents the number of objects to be arranged.

2. How is the permutation formula derived?

Ans. The permutation formula is derived from the concept of factorial notation. The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. The permutation formula, nPr, is obtained by dividing the factorial of n by the factorial of (n-r).

3. Can you provide an example of using the permutation formula?

Ans. Sure! Let's say we have a set of 5 different letters (A, B, C, D, E) and we want to find out the number of ways to arrange 3 of them in a specific order. Using the permutation formula, we can calculate it as 5P3 = 5! / (5-3)! = 5! / 2! = 5 x 4 x 3 = 60. Therefore, there are 60 different ways to arrange 3 letters from the given set.

4. What is the significance of the permutation formula in real-life applications?

Ans. The permutation formula has various applications in real-life scenarios. For example, it can be used in probability calculations to determine the number of possible outcomes for a given event. It is also useful in combinatorial optimization problems, such as scheduling or routing, where the order of elements is crucial.

5. Are there any restrictions or limitations to using the permutation formula?

Ans. Yes, there are a few restrictions to consider when using the permutation formula. Firstly, it assumes that all objects are distinct and can be arranged in any order. Secondly, it only applies to situations where repetition is not allowed. Lastly, the permutation formula can become computationally intensive for large values of n and r, making it impractical to calculate manually. In such cases, using mathematical software or programming languages can be more efficient.

About this Video

2.6K Views

4.66/5 Rating

Sep 04, 2025 Last updated

Related Exams

JEE ACT Grade 11 PAT A Level Year 13

Video Description: Derivation of Permutation Formula for JEE 2025 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The notes and questions for Derivation of Permutation Formula have been prepared according to the JEE exam syllabus. Information about Derivation of Permutation Formula covers all important topics for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Derivation of Permutation Formula.

Introduction of Derivation of Permutation Formula in English is available as part of our Mathematics (Maths) for JEE Main & Advanced for JEE & Derivation of Permutation Formula in Hindi for Mathematics (Maths) for JEE Main & Advanced course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free.

Description

Video Lecture & Questions for Derivation of Permutation Formula Video Lecture | Mathematics (Maths) for JEE Main & Advanced - JEE full syllabus preparation | Free video for JEE exam to prepare for Mathematics (Maths) for JEE Main & Advanced.

Information about Derivation of Permutation Formula

Here you can find the meaning of Derivation of Permutation Formula defined & explained in the simplest way possible. Besides explaining types of Derivation of Permutation Formula theory, EduRev gives you an ample number of questions to practice Derivation of Permutation Formula tests, examples and also practice JEE tests.

	Mathematics (Maths) for JEE Main & Advanced 176 videos\|588 docs\|160 tests

Mathematics (Maths) for JEE Main & Advanced

176 videos|588 docs|160 tests

Join Course for Free

Explore Courses for JEE exam

video lectures

ppt

Sample Paper

Derivation of Permutation Formula Video Lecture | Mathematics (Maths) for JEE Main & Advanced

MCQs

study material

Extra Questions

practice quizzes

Exam

mock tests for examination

past year papers

Derivation of Permutation Formula Video Lecture | Mathematics (Maths) for JEE Main & Advanced

Viva Questions

pdf

Previous Year Questions with Solutions

shortcuts and tricks

Objective type Questions

Free

Summary

Semester Notes

Important questions

;

Study Derivation of Permutation Formula on the App

Students of JEE can study Derivation of Permutation Formula alongwith tests & analysis from the EduRev app, which will help them while preparing for their exam. Apart from the Derivation of Permutation Formula, students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc. The EduRev App will make your learning easier as you can access it from anywhere you want. The content of Derivation of Permutation Formula is prepared as per the latest JEE syllabus.

Education Revolution