Mathematics Part1

Online MCQs about First Year Mathematics Part1 and Part2, Intermediate Mathematics Part1 multiple choice questions with answers

MCQs Permutation Combination 1

by

Online Quiz about MCQs Permutation Combination, and Probability from Chapter 7 of First Year Mathematics. There are 20 multiple-choice questions from the Permutation, Combination, and Probability Chapter of Part 1 Mathematics Books. Let us start with the MCQs Permutation Combination Quiz now.

First Year Mathematics, MCQs Permutation Combination Probability Quiz

Online MCQs Permutation, Combination and Probability with Answers

1. The number of ways that a necklace of $n$ beads of different colours be made is

 
 
 
 

2. The factorial form of $12 \cdot 11 \cdot 10$ is

 
 
 
 

3. If $r=n$, then ${}^nP_r$ is equal to

 
 
 
 

4. In a permutation ${}^nP_r$ or $P(N, r)$, it is always true that

 
 
 
 

5. An arrangement of $n$ objects according to some definite order is called

 
 
 
 

6. $0!$ is equal to

 
 
 
 

7. $8 \cdot 7 \cdot 6$ is equal to

 
 
 
 

8. $(-1)!$ is equal to

 
 
 
 

9. ${}^{10}P_7$ is equal to

 
 
 
 

10. An arrangement of $n$ objects taking $r$ out of them at a time, with some definite order, is

 
 
 
 

11. The factorial form of $n(n-1)(n-2) \cdots (n-r+1)$ is

 
 
 
 

12. If there are $p$ like objects of one kind and $q$ like objects of 2nd kind out of $n$ objects, then the different permutations are

 
 
 
 

13. Different signals of the 5 flags of different colors, using 3 at a time, are

 
 
 
 

14. The factorial notation was introduced by

 
 
 
 

15. An arrangement of $n$ objects without any order is called

 
 
 
 

16. If an event $A$ can occur in $p$ ways $B$ can occur in $q$ ways, then the number of ways that both events can occur is

 
 
 
 

17. The factorial form of $6 \cdot 5 \cdot 4$ is

 
 
 
 

18. $n! = n \cdot (n-1) \cdot (n-2) \cdots 3 \cdot 2 \cdot 1$ is defined only when $n$ is

 
 
 
 

19. An arrangement of $n$ objects taking $r$ out of them at a time without any order is

 
 
 
 

20. Different circular permutations of $n$ objects are

 
 
 
 

Online MCQs Permutation Combination and Probability Quiz

  • The factorial notation was introduced by
  • $n! = n \cdot (n-1) \cdot (n-2) \cdots 3 \cdot 2 \cdot 1$ is defined only when $n$ is
  • $0!$ is equal to
  • $(-1)!$ is equal to
  • The factorial form of $12 \cdot 11 \cdot 10$ is
  • The factorial form of $n(n-1)(n-2) \cdots (n-r+1)$ is
  • The factorial form of $6 \cdot 5 \cdot 4$ is
  • If an event $A$ can occur in $p$ ways $B$ can occur in $q$ ways, then the number of ways that both events can occur is
  • An arrangement of $n$ objects according to some definite order is called
  • An arrangement of $n$ objects without any order is called
  • An arrangement of $n$ objects taking $r$ out of them at a time without any order is
  • An arrangement of $n$ objects taking $r$ out of them at a time, with some definite order, is
  • $8 \cdot 7 \cdot 6$ is equal to
  • In a permutation ${}^nP_r$ or $P(N, r)$, it is always true that
  • Different signals of the 5 flags of different colors, using 3 at a time, are
  • If $r=n$, then ${}^nP_r$ is equal to
  • ${}^10P_7$ is equal to
  • If there are $p$ like objects of one kind and $q$ like objects of 2nd kind out of $n$ objects, then the different permutations are
  • Different circular permutations of $n$ objects are
  • The number of ways that a necklace of $n$ beads of different colours be made is

Take a Quiz on Part 1 First Year Mathematics

Statistics for Data Science & Analytics

First Year Mathematics Quiz

by

This post contains a link to the First Year Mathematics Quiz for each Chapter from the book. The first-year Mathematics book has fourteen chapters, and we have worked hard to make an easy and suitable solution for students and teachers to help them learn things quickly and easily. Click on a desired chapter to take the First Year Mathematics Quiz with Answers. These Mathematics MCQs are free for FSc and ICS students.

First Year Mathematics Quiz with Answers

First Year Mathematics Quiz with Answers

Class 11 Mathematics MCQs with Answers are free for students and teachers. By practicing these MCQs/objective-type questions, students can get an idea of how to solve such problems and get good scores/marks in their school, college, or university examinations.

The objective/ MCQs in each quiz cover all the concepts explained in the chapter for a quick revision of the chapter contents and preparation for examinations. Students are advised to perform all MCQ-type quizzes provided for each Chapter here to enhance their knowledge.

Chapter 01: Number System

MCQs Number System 4MCQs Number System 3
MCQs Number System 2MCQs Number System 1

Chapter 02: Sets, Functions, and Groups

Sets, Functions, and Groups 7
Sets Functions, and Groups 6Sets, Functions, and Groups 5
Sets, Functions, & Groups 4Set, Functions, & Groups 3
Set Functions and Groups 2Set Functions and Groups 1

Chapter 03: Matrices and Determinants

MCQs Matrices and Determinants 5
MCQs Matrices and Determinants 4MCQs Matrices and Determinants 3
MCQs Matrices and Determinants 2MCQs Matrices and Determinants 1

Chapter 04: Quadratic Equations

MCQs Quadratic Equations 3
MCQs Quadratic Equations 2MCQs Quadratic Equations 1

Chapter 05: Partial Fractions

MCQs Partial Fraction Questions 2MCQs Partial Fraction Quiz 1

Chapter 06: Sequences and Series

MCQs Sequence and Series Quiz 4MCQs Sequence and Series Math 3
MCQs Sequence and Series 2MCQs Sequence and Series 1

Chapter 07: Permutation, Combination, and Probability

Permutation Combination Math Quiz 4Chapter 7 First Year Mathematics Quiz 3
Permutation Combination Probability Quiz 2MCQs Permutation, Combination, and Probability 01

Chapter 08: Mathematical Induction and Binomial Theorem

Binomial Theorem MCQs 2Induction Binomial Theorem Quiz 1

Chapter 09: Fundamentals of Trigonometry

MCQs Fundamentals of Trigonometry 3
Fundamentals of Trigonometry MCQs 2Fundamentals of Trigonometry Quiz 1

Chapter 10: Trigonometric Identities

Trigonometric Identities Quiz 1

Chapter 11: Trigonometric Functions and Their Graphs

Chapter 12: Application of Trigonometry

Chapter 13: Inverse Trigonometric Functions

Chapter 14: Solutions of Trigonometric Equations

Take the Python Quiz for Beginners

Sequence and Series Quiz 4

by

This post is about all the Online MCQs Sequence and Series Quiz from the First Year Mathematics Book (Part-I). Click the links below to start with the Online MCQs Sequence and Series Quiz.

Please go to Sequence and Series Quiz 4 to view the test
Intermediate Mathematics Sequence and Series Quiz with Answers

Online Intermediate Mathematics Sequence and Series Quiz

  • The general term of an H.P is
  • The harmonic mean between 2 and 8 is
  • If A, G, and H are Arithmetic, Geometric, and Harmonic means between two positive numbers, then
  • If A, G, and H are Arithmetic, Geometric, and Harmonic means between two negative numbers, then
  • If $a$ and $b$ are two negative numbers, then
  • If $a$ and $b$ are two positive numbers, then
  • If $a$ and $b$ have opposite signs then the Geometric mean is
  • If $\frac{a^{n+1} + b^{n+1}}{a^n + b^n}$ is A.M. between $a$ and $b$, then $n$ is equal to
  • If $\frac{a^n + b^n}{a^{n-1} + b^{n-1}}$ is G.M. between $a$ and $b$, then $n$ is equal to
  • If $\frac{a^{n+1} + b^{n+1}}{a^n + b^n}$ is H.M. between $a$ and $b$, then $n$ is equal to
  • If $a, ar^2, ar^4,\cdots$ form a G.P. then $\frac{1}{a}, \frac{1}{ar^2},  \frac{1}{ar^4}, \cdots$ is
  • $\Sigma n$ is equal to
  • $\Sigma n^2$ is equal to
  • $\Sigma n^3$ is equal to
  • If $S_n=(n+1)^2$ then $S_{2n}$ is equal to
  • The sum of $n$ A.Ms between $a$ and $b$ is equal to
  • The sum of 5 A.Ms between 2 & 8 is
  • If both $x$ & $y$ are positive distinct real numbers, then the G.M. between $x$ and $y$ is
  • The numbers $a-d$, $a$, $a+d$ are in
  • If $|r|<1$ then $S_n=$
  • If $a_{n-1} = 2n+1$ then $a_n$ is equal to
  • With the usual notation $n$th term of AP is
  • The GM between -2 and 8 is
  • H.M. between -2 and 8 equals
  • The $n$th term of AP is
  • Fifth term of $\frac{1}{3}, \frac{1}{5}, \frac{1}{7}, \cdots$ is
  • $\frac{1}{2}, \frac{1}{7}, \frac{1}{12}, \cdots$ is
  • If $G_1, G_2, \cdots, G_n$ are $n$ geometric means between $a$ and $b$ then $(G_1 G_2 \cdots G_n)^{\frac{1}{n}}$ is
  • Harmonic mean between two numbers $a$ and $b$ is
  • The general term of a sequence is $(-1)^n n^2$. Its 4th term is

R Frequently Asked Questions