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:

Fundamental Principle of Counting
Permutations
Combinations

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:

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:

Chapter Related Topics
Permutations and Combinations Formulas	Factorial Formula	Stirling Formula
Combinatorics	Involute	Difference between Permutation and Combination

Also check:

Math Study Guides
Maths Important Formulas	Maths MCQs	Comparison Articles in Maths
Difference Between Topics in Maths	Math Study Material	Arithmetic

CBSE CLASS XII Related Questions

1.
Find the vector and cartesian equations of the line passing through the point of intersection of the lines \( \vec{r} = (\hat{i} + \hat{j} - \hat{k}) + \lambda(3\hat{i} - \hat{j}) \) and \( \vec{r} = (4\hat{i} - \hat{k}) + \mu(2\hat{i} + 3\hat{k}) \) and parallel to the line \( \frac{x - 1}{-2} = \frac{7 - y}{-3} = z \).
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2.
Evaluate:
\[ \int_{0}^{1} \frac{x \tan^{-1}x}{(1+x^2)^{3/2}}\,dx \]
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3.
Find a point on the line \( \frac{x - 2}{3} = \frac{1 - y}{2} = \frac{z - 3}{2} \) at a distance of \( \sqrt{2} \) units from the point \( (1, 2, 3) \).
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4.
Find:

If the function \[ f(x)= \begin{cases} \frac{\sin x}{x}+\cos x, & x\neq0\\ k, & x=0 \end{cases} \] is continuous at \(x=0\), then find the value of \(k\).
- \(0\)
- \(-2\)
- \(-1\)
- \(2\)
View Solution
5.
An NGO organises a charity event in which they decide to distribute woollen caps to protect children from winter. The caps to be distributed are in three separate boxes, Box I has 30 red caps, Box II has 20 red and 10 green caps, and Box III has 30 green caps. The probability that a Box i is selected and a cap picked out is i/6, where i = 1, 2, 3.
Based on the above information, answer the following questions :
6.
A carpenter needs to design a wooden box in the shape of a cuboid such that the sum of its length and breadth is 3 cm more than its height. Twice of its length, thrice of its breadth and its height add up to 10 cm. Its breadth added to 7 times its height is 1 cm less than 3 times its length.