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# NCERT Solutions for Class 11 Maths Chapter 6 Exercise 6.4 Permutations and Combinations - PDF Download

NCERT solutions for class 11 maths chapter 6 exercise 6.4 permutations and combinations Is based on the essential concepts of combinations and the derivation of formula nCr. When you answer permutation questions, the order of an object is important. However, in combination order doesn’t matter. There are some related theorems that you need to remember that are derived from the combinatorial formula.

Ex 6.4 class 11 maths chapter 6 has 9 questions that are about calculating combinations with its formula. In these solutions, the questions are designed by eSaral’s subject experts to help you understand the calculations and how to use the formulas for medium-level questions. NCERT solutions for ex 6.4 class 11 ch 6 helps students to gain a clear and brief comprehension of this topic which sometimes appears confusing. Class 11 maths chapter 6 exercise 6.4 NCERT solutions can be downloaded in PDF format to practice questions. Download the free PDF of NCERT solutions from the link provided below.

## Topics Covered in Exercise 6.4 Class 11 Mathematics Questions

NCERT solution for class 11 maths chapter 6 Permutation and Combination ex 6.4 is based on the topic of combination. Students will learn more about this topic by solving the problems provided in this exercise.

 1 Combinations Theorem 5 Theorem 6
1. Combinations - A combination is a selection of a part of objects, or selection of all objects if the order does not matter. Therefore, the number of combinations of n objects at a time r.

The formula for combination is given by ${ }^n C_r=\frac{n !}{r !(n-r) !}$

Theorem 5: nPr =  nCr  r!, , 0 < r ≤ n

Theorem 6:  nCr+  nCr-1 =  n+1Cr

## Tips for Solving Exercise 6.4 Class 11 Chapter 6 Permutations and Combinations

Students can quickly implement the concept of combinations by going through the tips provided by subject experts of eSaral.

1. Getting a basic grasp of this topic is essential if you want to solve questions that need to work with different permutations and combinations.

2. In addition to the theorems and definitions, we also explain some of the terms and sums related to this topic to help you get a better grasp of it. This is why we strongly advise you to read the whole topic and concept carefully.

3. You should also practice and revise the questions related to the topic combination.

## Importance of Solving Ex 6.4 Class 11 Maths Chapter 6 Permutations and Combinations

There are a lot of benefits of solving questions of ex 6.4 class 11 maths chapter 6 permutations and combinations. Here, we have combined some of the benefits which you can check below.

1. NCERT solutions class 11 maths chapter 6 ex 6.4 provides step by step solutions of combination which helps you to practice the questions given in ex 6.4.

2. By solving ex 6.4 questions of NCERT solutions, you will be able to solve questions in final exams which will boost your confidence.

3. These solutions will also improve your problem solving skills.

4. Practicing questions of ex 6.4 and revising the concepts will build the strong foundation of topics included in exercise 6.4.

Answer 2. The formula for finding the combination is ${ }^n C_r=\frac{n !}{r !(n-r) !}$