NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercises

Content Curator

Class 11 Maths NCERT Solutions Chapter 7 Permutations and Combinations Miscellaneous Exercises is based on following concepts:

Introduction to Permutations and Combinations
Fundamental Principle of Counting

Download PDF NCERT Solutions for Class 11 Maths Chapter 7 Permutations and Combinations Miscellaneous Exercises

Check out the solutions of Class 11 Maths NCERT solutions Chapter 7 Permutations and Combinations Miscellaneous Exercises

Also check other Exercise Solutions of Class 11 Maths Chapter 7 Permutations and Combinations

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.
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 :
2.
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 \(q\).
- \(p = -\frac{2}{3}, \, q = \frac{5}{3}\)
- \(p = -\frac{8}{3}, \, q = \frac{20}{3}\)
- \(p = \frac{20}{3}, \, q = -\frac{8}{3}\)
- \(p = 0, \, q = 0\)
View Solution
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.
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 \( (1, 2, 3) \).
View Solution
5.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).
- \(\begin{bmatrix} \frac{1}{3} & 3 \\ 0 & \frac{4}{3} \end{bmatrix}\)
- \(\begin{bmatrix} \frac{1}{3} & 0 \\ 3 & \frac{4}{3} \end{bmatrix}\)
- \(\begin{bmatrix} \frac{4}{3} & 3 \\ 1 & 0 \end{bmatrix}\)
- \(\begin{bmatrix} \frac{4}{3} & 0 1 & \frac{3}{3} \end{bmatrix}\)
View Solution
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.

View All

Similar Mathematics Concepts

Permutations and Combinations: Formulas & Examples

Factorial: Definition, Formula, Factorial Table & Examples

Permutations and Combinations Formulas: Derivation, Example

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

Combinatorics: Formula, Features, Permutation & Combination

Difference Between Permutation and Combination

Involute: Introduction, Equations & Sample Questions

Important Questions For Class 11 Maths Chapter 7: Permutations and Combinations

NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.1

NCERT Solutions for Class 11 Maths Chapter 7 Exercise 7.2

CBSE CLASS XII Previous Year Papers

Mathematics

Mathematics Preparation Guides

Sequence and Series: Types, Formulas & Examples

Measures of Dispersion: Types, Absolute & Relative measure

Events and their Types in Probability

Angle between two lines: Derivation, Types, Formulae

Mathematics: Latus rectum of Ellipse- Definition, Equation, Examples and Sample Questions

Pascal’s Triangle: Construction, Notation, Pattern, Properties

Ellipse: Standard Equation, Derivation & Formula

Circle: Definition, Equation and Segments

Geometric Progression: Definition, Sum of N Terms, Formula

Conic Sections: Formula, Equations & Examples

Parabola: Graph, General Equation, Formulae, Latus Rectum, Focal, Normal , Tangent, Sample Questions

Horizontal and Vertical Lines: Formula, Examples & Equations

Conic Sections: Parabola, Hyperbola, Ellipse, Circle

Eccentricity of Ellipse Formula, Definition, Derivation & Examples

Complex Numbers and Quadratic Equations

Real Valued Functions: Types, Operations & Examples

Latus Rectum of Parabola: Formula, Length & Derivation

Venn Diagrams: Symbols, Formula, Set Operations & Examples

Types of Events in Probability

Types of Sets: What is Set, Examples & Symbols

Mathematics NCERT Solutions

Factorial Formula: Calculation, Values, Application

Multiplication Rule of Probability: Proof and Solved Examples

Logarithms: Rules, Properties and Formula

Mathematical Logic: Conjunction, Disjunction and Negation

Value of Log 1: Logarithmic Functions, Value of In 1, Logarithmic Values

Solving Inequalities

Tautology: Operators, Logic Symbols, and Truth Table

Quotient Rule: Definition, Formula, Applications and Sample Questions

Conjugate of a Complex Number: Definition, Properties and Equations

Difference between Ln and Log: Definitions and Properties

You can also check

NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercises

CBSE CLASS XII Related Questions

2.
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 \(q\).

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.
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 \( (1, 2, 3) \).

5.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

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.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

NCERT Solutions for Class 11 Maths Chapter 7 Miscellaneous Exercises

CBSE CLASS XII Related Questions

2. 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 \(q\).

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.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 \( (1, 2, 3) \).

5.Find:Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

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.

Similar Mathematics Concepts

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
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 \(q\).

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.
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 \( (1, 2, 3) \).

5.
Find:
Let \(A=[a_{ij}]\) be a \(2\times2\) matrix whose elements are given by \[ a_{ij}=\frac{(2i-j)^2}{3} \] Find the transpose matrix \(A'\).

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.