NCERT Solutions for Class 11 Maths Chapter 7: Permutations and Combinations

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NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations are provided in the article. Permutation and Combination are used to determine the number of ways in which a number can be arranged and selected without listing them out. NCERT Solutions Class 11 Maths Chapter 7 Permutations and Combinations cover following key concepts in detail:

Download: NCERT Solutions for Class 11 Mathematics Chapter 7 pdf


Class 11 Maths NCERT Solutions Chapter 7 Permutations and Combinations

Class 11 Maths NCERT Solutions Chapter 7 Permutations and Combinations are provided below:

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Also check: Permutations and Combinations


Important Topics for Class 11 Maths NCERT Solutions Chapter 7 Permutations & Combinations

Important Topics for Class 11 Maths NCERT Solutions Chapter 7 Permutations & Combinations are as follows:

  • Fundamental Principle of Counting

Fundamental Principle of Counting is a rule used to count total number of possible outcomes in a situation. This rule states that if there are n ways of doing something, and m ways of doing another thing after that, then there are n × m ways to perform both of these actions.

Example: A restaurant has 5 appetizers, 7 beverages, 9 entrees, and 5 desserts on the menu. If you have a beverage and a dessert, there are 7*5 = 35 different meals consisting of a beverage and dessert.

  • Permutations

Permutation is an arrangement of objects in a definite order. Members or elements of sets are arranged here in a sequence or linear order.

Example: Permutation of Set A = {1,6} is 2, such as {1,6}, {6,1}

  • Combinations

Combination is a mathematical technique that determines number of possible arrangements in a collection of items where order of the selection does not matter. In combinations, you can select the items in any order.

Combination Formula

NCERT Solutions For Class 11 Maths Chapter 7 Exercises:

The detailed solutions for all the NCERT Solutions for Chapter 7 Permutations and Combinations under different exercises are as follows:

Also check:

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CBSE CLASS XII Related Questions

  • 1.
    Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


      • 2.
        For a square matrix \(A\), \[ (3A)^{-1}= \]

          • \( 3A^{-1} \)
          • \( 9A^{-1} \)
          • \( \frac{1}{3} A^{-1} \)
          • \( \frac{1}{9} A^{-1} \)

        • 3.

          Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


            • 4.

              Sports car racing is a form of motorsport which uses sports car prototypes.The competition is held on special tracks designed in various shapes. 

              The equation of a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:


                • 5.
                  For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

                    • local maximum value is 2
                    • local minimum value is \( -2 \)
                    • local maximum value is \( -2 \)
                    • local minimum value \( < \) local maximum value

                  • 6.
                    Assertion (A) : In an experiment of throwing an unbiased die, the probability of getting a prime number given that number appearing on the die being odd is \( \frac{2}{3} \).
                    Reason (R) : For any two events \( A \) and \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).

                      • Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
                      • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
                      • Assertion (A) is true and Reason (R) is false.
                      • Assertion (A) is false and Reason (R) is true.
                    CBSE CLASS XII Previous Year Papers

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