Muhammad Imdad Ullah

Currently working as Assistant Professor of Statistics in Ghazi University, Dera Ghazi Khan. Completed my Ph.D. in Statistics from the Department of Statistics, Bahauddin Zakariya University, Multan, Pakistan. l like Applied Statistics, Mathematics, and Statistical Computing. Statistical and Mathematical software used is SAS, STATA, Python, GRETL, EVIEWS, R, SPSS, VBA in MS-Excel. Like to use type-setting LaTeX for composing Articles, thesis, etc.

Permutation Combination Math MCQs 4

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With this quick Quiz Permutation Combination Math MCQs, test your understanding of Chapter 7 (Permutation, Combination, and Probability) from First Year Intermediate Mathematics. The Permutation Combination Math MCQs covers key concepts like (i) Arrangements (Permutations), (ii) Selections (Combinations), (iii) Probability rules, (iv) Factorial notation, and (v) Real-world applications (e.g., dice, cards, committees). Let us start with Permutation Combination Math MCQs now.

Online multiple choice questions about Permutation Combination, and Probability from Chapter 7 of First Year Mathematics Book

1. If ${}^nC_6 ={}^nC_8$ then $n$ equals

 
 
 
 

2. If $P(A) = \frac{5}{7}, P(B) = \frac{7}{9}$, $P(A \cap B)$ is equal to

 
 
 
 

3. If $A$ and $B$ are two independent events, $P(A \cap B) = \frac{1}{169}$, $P(A) = \frac{1}{13}$, $P(B)=$

 
 
 
 

4. If ${}^nC_5={}^nC_9$​, then $n$=?

 
 
 
 

5. If $A, B$, and $C$ are independent events, then $P(A\cap B \cap C)$ is equal to

 
 
 
 

6. The probability of the non-occurrence of an event $E$ is equal to

 
 
 
 

7. If $A, B$, and $C$ are disjoint events then $P(A\cup B\cup C)$ is equal to

 
 
 
 

8. If $A$ and $B$ are disjoint event then $P(A\cup B)$ =

 
 
 
 

9. With usual notation ${}^nP_n$ equals:

 
 
 
 

10. If $\binom{n}{12} = \binom{n}{8}$, then the value of $n$ =

 
 
 
 

11. Four people want to sit on a circular sofa; the total ways is

 
 
 
 

12. If $P(A) = 0.3$ and $P(B) = 0.4$, and $A$ and $B$ are independent, then $P(A ∪ B)$ is:

 
 
 
 

13. The number of ways to sit 4 persons in a train on a straight sofa is

 
 
 
 

14. If two events affect the occurrence or nonoccurrence of each other, then these are called

 
 
 
 

15. A card is drawn from a deck of 52 playing cards. The probability of a card being drawn is an ace is

 
 
 
 

16. If ${}^nC_6 = {}^C_{12}$ then $n$ equals

 
 
 
 

17. How many 3-digit numbers can be formed from 1, 2, 3, 4 without repetition?

 
 
 
 

18. The sample space for tossing a coin is

 
 
 
 

19. If two events do not affect the occurrence or non-occurrence of each other, then these are called

 
 
 
 

20. For independent events $P(A \cap B)$ =

 
 
 
 

Online Permutation Combination Math MCQs from First Year Mathematics

Permutation Combination Math MCQs with Answers

  • If two events do not affect the occurrence or non-occurrence of each other, then these are called
  • If two events affect the occurrence or nonoccurrence of each other, then these are called
  • If $A, B$, and $C$ are independent events, then $P(A\cap B \cap C)$ is equal to
  • If $A, B$, and $C$ are disjoint events then $P(A\cup B\cup C)$ is equal to
  • If $P(A) = \frac{5}{7}, P(B) = \frac{7}{9}$, $P(A \cap B)$ is equal to
  • If $A$ and $B$ are two independent events, $P(A \cap B) = \frac{1}{169}$, $P(A) = \frac{1}{13}$, $P(B)=$
  • The number of ways to sit 4 persons in a train on a straight sofa is
  • Four people want to sit on a circular sofa; the total ways is
  • A card is drawn from a deck of 52 playing cards. The probability of a card being drawn is an ace is
  • If ${}^nC_6 = {}^C_{12}$ then $n$ equals
  • For independent events $P(A \cap B)$ =
  • If $\binom{n}{12} = \binom{n}{8}$, then the value of $n$ =
  • If $A$ and $B$ are disjoint event then $P(A\cup B)$ =
  • With usual notation ${}^nP_n$ equals:
  • If ${}^nC_6 ={}^nC_8$ then $n$ equals
  • The sample space for tossing a coin is
  • The probability of the non-occurrence of an event $E$ is equal to
  • How many 3-digit numbers can be formed from 1, 2, 3, 4 without repetition?
  • If ${}^nC_5={}^nC_9$​, then $n$=?
  • If $P(A) = 0.3$ and $P(B) = 0.4$, and $A$ and $B$ are independent, then $P(A ∪ B)$ is:

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Chapter 7 First Year Math 3

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The Quiz is from Chapter 7 First Year Mathematics titled “Permutation, Combination, and Probability“. Test your understanding of permutation, combination, and probability with this intermediate-level quiz designed for first-year mathematics students (Part 1). This quiz covers key concepts like factorials, arrangements, selections, and probability rules, helping you strengthen problem-solving skills. Perfect for exam preparation and self-assessment! Permutation and combination problems, probability quiz, math MCQs for first year, intermediate mathematics, permutations vs combinations, probability formulas, factorial questions, counting principles, probability practice test, Class 11 math quiz. Let us start with the Chapter 7 First Year Mathematics Quiz now.

Online Chapter 7 First Year Mathematics Quiz with Answers
Please go to Chapter 7 First Year Math 3 to view the test

Online Chapter 7 First Year Mathematics (Permutation, Combination, and Probability) Quiz

  • If $E$ is an event of a sample space $S$, then
  • If an event always occurs, then it is called
  • If $E$ is a certain event, then
  • If $E$ is an impossible event, then
  • Non-occurrence of an event $E$ is denoted by
  • If $E$ be an event of a sample $S$, then
  • LEt $S={1,2,3,\cdots,10}$ the probability that a number is divisible by 4 is
  • There are 5 green and 3 red balls in a box. One ball is taken, the probability that the ball is green or red is
  • There are 5 green and 3 red balls in a box. The one ball taken is probability of getting a black ball is
  • Three dice are rolled simultaneously, then $n(s)$ is equal to
  • A coin is tossed 5 times, then $n(S)$ is equal to
  • A bag contains 40 balls out of which 15 are black, then the probability of a ball not black is
  • Two tams $A$ and $B$ are playing a match, the probability that team $A$ dose not loose is
  • If $P(E) = \frac{7}{12}$, $n(S)=8400$, $n(E)$ is equal to
  • A die is rolled, and the probability of getting 3 or 5 is
  • A die is rolled, and the probability of getting 3 or an even number is
  • A coin is tossed 4 times, then the probability that at least one head appears in 4 tosses is
  • If $A$ and $B$ are disjoint event, then $P(A \cup B)$ is equal to
  • If $A$ and $B$ are over lapping event, then $P(A \cup B)$ is equal to
  • If $S={1,2,\cdots, 10}$, $A={1,3,5}$, $B={2,4,6}$ then $P(A\cup B)$ is equal to

MCQs in Statistics

IPFP Research Management Quiz

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Test your knowledge with these 20 multiple-choice questions (MCQs) on the HEC IPFP Research Management Quiz! Covering key concepts, policies, and best practices, the IPFP Research Management quiz is perfect for researchers, faculty members, and scholars preparing for IPFP or enhancing their research management skills. Challenge yourself and see how well you understand research funding, ethics, publication, and HEC guidelines. Let us start with the IPFP Research Management Quiz now.

Created by 25f0d9fdcd0763332da999662046f137e4f48fed77307ac0d7385f4cffd81e72?s=32&d=mm&r=gMuhammad Imdad Ullah

IPFP Research Management Quiz 2

The post is about HEC IPFP Research Management Quiz with Answers

tail spin

1 / 20

In a directional hypothesis, the direction is expected to be based on information from

2 / 20

A variable that is presumed to affect or somehow influence at least one other variable is called

3 / 20

One way to control extraneous variables is to hold them

4 / 20

A moderator variable is a -------------- variable.

5 / 20

If all members of the class are identical, and do not have a variable such characteristic is called

6 / 20

There are a number of ethical principles that all researchers should be aware of and apply to their

7 / 20

Several kinds of variables are studied in education research,  but the most common are

8 / 20

Whenever a researcher sets up an experiment, conditions, and one or more variables are created, such variables are called

9 / 20

A directional hypothesis is supposed to be riskier because it is

10 / 20

Articles, monographs, book,s and other documents that deal with the research question come under

11 / 20

The variables which do not vary in degree, amount or quantity but are qualitatively different are called

12 / 20

The term ------------- refers to intentionally misinforming the subject of study as to some or all aspects of the research topic

13 / 20

Which research question suggests a relationship?

14 / 20

Once researchers have decided which variable to study, they must be concerned about the influence or effect of other variables that exist, such variables are usually called

15 / 20

Age, height, amount of interest, and motivation show ----------- variable.

16 / 20

A quantitative variable varies in degree but not in ----------.

17 / 20

One main disadvantage of stating a hypothesis is that it may be ---------------- on the part of the researcher.

18 / 20

Anxiety affects test performance, but the correlation is markedly lower for students with test-taking experience. In this hypothesis, the independent variable is

19 / 20

Students taught history by a teacher of the same gender will like the subject more than students taught history by a teacher ofa  different gender. This statement shows

20 / 20

A few cases seemed quite different from the rest, so we deleted them. This statement shows the researcher's

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Online IPFP Research Management Quiz with Answers

Online IPFP Research Management Quiz with Answers

  • A few cases seemed quite different from the rest, so we deleted them. This statement shows the researcher’s
  • Students taught history by a teacher of the same gender will like the subject more than students taught history by a teacher of a different gender. This statement shows
  • Once researchers have decided which variable to study, they must be concerned about the influence or effect of other variables that exist, such variables are usually called
  • Which research question suggests a relationship?
  • A quantitative variable varies in degree but not in ———-.
  • There are a number of ethical principles that all researchers should be aware of and apply to their
  • Anxiety affects test performance, but the correlation is markedly lower for students with test-taking experience. In this hypothesis, the independent variable is
  • One way to control extraneous variables is to hold them
  • The term ————- refers to intentionally misinforming the subject of study as to some or all aspects of the research topic
  • If all members of the class are identical, and do not have a variable such characteristic is called
  • Several kinds of variables are studied in education research, but the most common are
  • Age, height, amount of interest, and motivation show ———– variable.
  • Whenever a researcher sets up an experiment, conditions, and one or more variables are created, such variables are called
  • In a directional hypothesis, the direction is expected to be based on information from
  • A directional hypothesis is supposed to be riskier because it is
  • A moderator variable is a ————– variable.
  • A variable that is presumed to affect or somehow influence at least one other variable is called
  • The variables which do not vary in degree, amount or quantity but are qualitatively different are called
  • Articles, monographs, books, and other documents that deal with the research question come under
  • One main disadvantage of stating a hypothesis is that it may be —————- on the part of the researcher.

MCQs in Statistics

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