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.
Using integration, find the area of the region bounded by the curve \( y = x|x| \), the x-axis, and the vertical lines \( x = -2 \) and \( x = 2 \).
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2.
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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3.
At a birthday party, children are being served orange juice in conical cups, as shown in the figure.

Each cup is 15 cm deep and has a radius 5 cm. The juice is being poured into this cup at a rate of 0·1 cm3/s.
On the basis of the above information, answer the following questions :
4.
Which of the following equations is NOT a Linear Differential Equation?
- \((1 + x^2) \, dy + 2xy \, dx = \cot x \, dx\)
- \(y + \frac{d}{dx}(xy) = x(\sin x + \log x)\)
- \(x(1 + y^2) \, dx - y(1 + x^2) \, dy = 0\)
- \(y \, dx - (x + 3y^2) \, dy = 0\)
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5.
Find:

If \[ (3\hat{i}-2\hat{j}+5\hat{k})\times(4\hat{i}+p\hat{j}+q\hat{k})=\vec{0} \] then find the values of \(p\) and \(q\).
- \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
- \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
- \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
- \(p = 0, \, q = 0\)
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6.
Find:

The principal value of \[ \sec^{-1}(\sqrt{2})+2\csc^{-1}(-2) \] is:
- \(-\frac{\pi}{2}\)
- \(-\frac{\pi}{4}\)
- \(\frac{\pi}{4}\)
- \(\frac{\pi}{2}\)
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