Chapter 7 First Year Math 3

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

Online Chapter 7 First Year Math, Permutation, Combination, and Probability quiz with Answers

1. If $A$ and $B$ are disjoint event, then $P(A \cup B)$ is equal to

 
 
 
 

2. If $P(E) = \frac{7}{12}$, $n(S)=8400$, $n(E)$ is equal to

 
 
 
 

3. Non-occurrence of an event $E$ is denoted by

 
 
 
 

4. If $S=\{1,2,\cdots, 10\}$, $A=\{1,3,5\}$, $B=\{2,4,6\}$ then $P(A\cup B)$ is equal to

 
 
 
 

5. There are 5 green and 3 red balls in a box. The one ball taken is probability of getting a black ball is

 
 
 
 

6. LEt $S=\{1,2,3,\cdots,10\}$ the probability that a number is divisible by 4 is

 
 
 
 

7. A die is rolled, and the probability of getting 3 or 5 is

 
 
 
 

8. If $E$ is a certain event, then

 
 
 
 

9. If $A$ and $B$ are over lapping event, then $P(A \cup B)$ is equal to

 
 
 
 

10. 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

 
 
 
 

11. If an event always occurs, then it is called

 
 
 
 

12. Two tams $A$ and $B$ are playing a match, the probability that team $A$ dose not loose is

 
 
 
 

13. A bag contains 40 balls out of which 15 are black, then the probability of a ball not black is

 
 
 
 

14. If $E$ is an event of a sample space $S$, then

 
 
 
 

15. If $E$ is an impossible event, then

 
 
 
 

16. If $E$ be an event of a sample $S$, then

 
 
 
 

17. A die is rolled, and the probability of getting 3 or an even number is

 
 
 
 

18. A coin is tossed 4 times, then the probability that at least one head appears in 4 tosses is

 
 
 
 

19. A coin is tossed 5 times, then $n(S)$ is equal to

 
 
 
 

20. Three dice are rolled simultaneously, then $n(s)$ is equal to

 
 
 
 

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

Permutation Combination Probability Quiz 2

The MCQs are from Chapter 7 of First-Year Mathematics, “Permutation Combination Probability Quiz“. 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 Permutation Combination Probability Quiz with Answers now.

Online Permutation Combination Probability Quiz with Answers
Please go to Permutation Combination Probability Quiz 2 to view the test

Online Permutation Combination Probability Quiz

  • The number of permutations of the Word PANAMA are
  • The number of permutations of the word PANAMA when each word starts with $P$ is
  • 5 Persons can be seated at a round table in ways
  • ${}^nP_r$ is equal to
  • ${}^nC_r$ is equal to
  • A complementary combination is
  • If ${}^nC_8={}^nC_{12}$ then $n$ is equal to
  • The number of Triangles of an $n$ sided polygon is
  • ${}^{n-1}C_r + {}^{n-1}C_{r-1}=$
  • ${}^{n}C_7 + {}^nC_{8}=$
  • The number of Diagonals of a 5-sided polygon is
  • The number of Triangles of a 5-sided Polygon is
  • A hockey team has 11 out of 15 players to be selected, and different teams if a particular player must be selected is —–?
  • The set of all possible outcomes of an experiment is
  • Any particular outcome of an experiment is called
  • A fair coin is tossed, and the probability of getting a head or a tail is
  • For two events $A$ and $B$ if $A \cap B = \phi$, then events $A$ and $B$ are called
  • If $A$ and $B$ are mutually exclusive (disjoint) events, then $n(A\cap B)$ is
  • If two events $A$ and $B$ have an equal chance of occurrence, then the events are
  • If $E$ is an event of a sample space $S$, then

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MCQs Permutation Combination 1

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
Please go to MCQs Permutation Combination 1 to view the test

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

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