Class 11 Maths Ch 6 Exercise 6.3 Example 9,10 Introduction #1 Permutations

#class11 #maths #permutations #combinations

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By
Ankit Ghevariya

### **Permutations**

**Definition:**
Permutations refer to the different ways of arranging a set of items where the order matters. We discuss both simple and complex permutation scenarios.

**Formula:**
We explain the permutation formula \( P(n, r) = \frac{n!}{(n - r)!} \) in detail, including examples and step-by-step calculations.

**Examples:**
1. **Basic Permutations:** Arranging 3 books on a shelf.
2. **Advanced Permutations:** Permutations with restrictions or conditions.

**Applications:**
Explore real-world applications such as scheduling, arrangement of items, and more.

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### **Combinations**

**Definition:**
Combinations refer to the different ways of selecting items from a group where the order does not matter. We cover the basics of combination problems and their significance.

**Formula:**
We detail the combination formula \( C(n, r) = \frac{n!}{r!(n - r)!} \), breaking down each component with illustrative examples.

**Examples:**
1. **Basic Combinations:** Choosing 2 out of 5 fruits.
2. **Advanced Combinations:** Combinations with additional constraints.

**Applications:**
Discuss practical uses in fields like genetics, lottery probabilities, and decision-making processes.

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### **Comparing Permutations and Combinations**

We explore the key differences between permutations and combinations, providing a side-by-side comparison to help reinforce your understanding.

### **Complex Problems and Solutions**

Dive into challenging problems and their solutions to test your understanding. We tackle problems with multiple steps and varying complexity to provide a comprehensive learning experience.

### **Interactive Exercises**

Engage with interactive exercises and quizzes included in the video. Practice problems are provided to solidify your knowledge and improve problem-solving skills.

### **Additional Resources**

Links to further reading materials, textbooks, and online resources for extended learning. We recommend additional videos and articles for deeper exploration of permutations and combinations.

### **FAQs**

A section addressing frequently asked questions related to permutations and combinations. We clarify common doubts and misconceptions to aid in your learning journey.

### **Conclusion**

Summarize the key points covered in the video. Emphasize the importance of mastering permutations and combinations and how they can be applied in various real-life scenarios.

### **Call to Action**

Encourage viewers to like, comment, and subscribe to the channel for more educational content. Invite them to share their questions or topics they’d like to see covered in future videos.

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**Join us on this mathematical journey and enhance your understanding of permutations and combinations.**

**#Permutations #Combinations #Mathematics #Combinatorics #Probability #Statistics #MathTutorial**

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[pawangupta]

Thanknyou so much sir this video was much needed. You made this topic so easy to understand 😊

Thank you