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NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercise

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Miscellaneous Exercise Chapter 7 Class 11 Maths NCERT Solutions: NCERT Solutions for Maths Class 11 is considered to be the most useful study material for Class 11 students. Chapter 7 of Class 11 Maths discusses Permutations and Combinations. This article gives solutions for the Chapter 7 Miscellaneous Exercise.

The NCERT Maths Solutions are prepared in full accordance with the latest CBSE syllabus. The Miscellaneous Exercise consists of questions from the entire chapter of Permutations and Combinations. Moreover, Embibe has included more than 2500 questions for practice to master the concepts of the chapter. Read on to get the NCERT Solutions for Miscellaneous Exercise in Chapter 7.

NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercise: Important Topics

The solutions that Embibe offers for Chapter 7 Miscellaneous Exercise help reinforce the basic concepts and enable students to solve more complex questions. The exercise covers questions from topics such as Factorial Notation, Permutations, Permutations When Objects are Distinct and not Distinct, Combinations etc.

There are a total of 11 questions under the Miscellaneous Exercise of Chapter 7. Now, students can refer to 6 other Maths reference books available on Embibe to get a thorough understanding. In addition to practising, they can take mock tests on the chapter or specific topic according to their choice. The table below lists the important topics related to Miscellaneous Exercise.

ExerciseTopics
7.1Introduction
7.2Fundamental Principle of Counting
7.3Permutations
7.3.1Permutations when all the objects are distinct
7.3.2Factorial Notation
7.3.3Derivation of the Formula
7.3.4Permutations when all the objects are not distinct objects
7.4Combinations

NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercise: Points to Remember

To efficiently prepare for Class 11 Maths, the Miscellaneous Exercise is important as it serves as an overview of the entire chapter. Students can refer to the points below while doing their revisions.

  • Factorial of the natural number n, denoted by n! or n is the continued product of first n natural numbers. n! = n × (n – 1) × (n – 2) × … × 3 × 2 × 1 or equal to n × ((n – 1)!) or equal to n × (n – 1) × ((n – 2)!)
  • If there are two tasks such that one of them can be completed in m ways, and when it has been completed in one of these m ways, the other task can be completed in n ways, then the two tasks can be completed in m×n ways.
  • If two tasks are such that they can be performed independently in m and n ways, then either of them can be performed in m + n ways.
  • If n is a natural number and r is a positive integer such that 0≤r≤n, then nPr=n!(n−r)!
  • If n is a real number and r is a positive integer such that 0≤r≤n, then nCr=n!(n−r)!r!

NCERT Solutions for Class 11 Maths: All Chapters

Below, students can find the chapter-wise links to the NCERT Solutions for Class 11 Maths. Thus, they can refer to the solutions to prepare well for the exam.

1st Chapter: Sets
2nd Chapter: Relations and Functions
3rd Chapter: Trigonometric Functions
4th Chapter: Principle of Mathematical Induction
5th Chapter: Complex Numbers and Quadratic Equations
6th Chapter: Linear Inequalities
7th Chapter: Permutations and Combinations
8th Chapter: Binomial Theorem
9th Chapter: Sequences and Series
10th Chapter: Straight Lines
11th Chapter: Conic Sections
12th Chapter: Introduction to Three Dimensional Geometry
13th Chapter: Limits and Derivatives
14th Chapter: Mathematical Reasoning
15th Chapter: Statistics
16th Chapter: Probability

FAQs on NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercise

Q: Does chapter 7 of Class 11th Maths has any miscellaneous exercise?

Ans: Yes, Chapter 7 of Class 11th Maths has a miscellaneous exercise.

Q: Where can I find free NCERT Solutions for Chapter 7 Miscellaneous Exercise of Class 11 Maths?

Ans: Students can find free, comprehensive, reliable and easy-to-understand miscellaneous exercises on Chapter 7 Class 11 solutions at Embibe.

Q: Where can I solve NCERT Class 11 Maths Chapter 7 Miscellaneous Exercise questions online?

Ans: Students can solve NCERT Class 11 Maths Chapter 7 Miscellaneous Exercise questions online at Embibe.

Q: How many questions are there in NCERT Class 11 Chapter 7 Miscellaneous Exercise?

Ans: There are 11 questions in the NCERT Class 11 Chapter 7 Miscellaneous Exercise.

Q: How many practice questions can I get for Class 11 Maths Chapter 7?

Ans: The NCERT Solutions that Embibe provides for Class 11 Maths Chapter 7 have 2500+ questions for practice.

Adaptive Practice with Solutions To Help You Ace Important Topics for 11th NCERT