# NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.4 Permutations and Combinations

NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.4 Permutations and Combinations cover the important concept of combinations and derivation of the formula for ^{n}C_{r}. When kids solve questions based on permutations the way in which an object is ordered is important. However, in combinations order does not matter. For example, if we have 3 football players and a team of two needs to be formed, this could be done in 3 possible ways. It indicates that the order of performing this operation is not relevant. There are certain associated theorems that children need to keep in mind obtained as a consequence of the combinatorial formula. Exercise 7.4 has 12 questions related to computing combinations using this formula.

The questions provided in these solutions are geared towards instilling a better understanding of the computations and how to apply the formulas to medium-level sums. Class 11 maths NCERT solutions Chapter 7 Exercise 7.4 helps kids to develop a clear and concise understanding of this topic which sometimes seems to be confusing. Students can download and practice these NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.4 that is available in a scrollable PDF format given below.

**ā** Download NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.4

**Exercise 7.4 Class 11 Chapter 7 **

### More Exercises in Class 11 Maths Chapter 7

- NCERT Solutions Class 11 Maths Chapter 7 Ex 7.1
- NCERT Solutions Class 11 Maths Chapter 7 Ex 7.2
- NCERT Solutions Class 11 Maths Chapter 7 Ex 7.3
- NCERT Solutions Class 11 Maths Chapter 7 Miscellaneous Exercise

## NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.4 Tips

Kids can quickly implement the concept of combinations by going through all the questions present in the NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.4. Attaining a basic understanding of this topic is important to solve problems that are required to work interchangeably with permutations and combinations. Some important theorems, definitions, and terms related to this topic are also explained along with related sums to enhance the fundamental knowledge of this skill. It is thus highly recommended to study the complete material carefully.

Corresponding to each combination of ^{n}C_{r}, there are r! permutations as we can arrange r objects in every combination in r ! ways. Hence, the total number of permutations of n different things taken r at a time is ^{n}C_{r} × r!. Students can understand the detailed notes based on such theorems and their proofs with the practice of NCERT Solutions Class 11 Maths Chapter 7 Exercise 7.4. With these resources, practice and revision become relatively convenient for efficient exam preparation.

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