Mathematics Part1

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

1. 5 Persons can be seated at a round table in ways

 24

 12

 120

 720

2. ${}^nP_r$ is equal to

 $\frac{n!}{ r! (n+1r)!}$

 $\frac{n!}{ r!(n-r)! }$

 $\frac{n!}{r!}$

 $\frac{n!}{ (n – r)! }$

3. If $A$ and $B$ are mutually exclusive (disjoint) events, then $n(A\cap B)$ is

 1

 between 0 and 1

 not defined

 0

4. ${}^{n-1}C_r + {}^{n-1}C_{r-1}=$

 ${}^nC_{r-1}$

 ${}^{n-1}C_r$

 ${}^{n-1}C_{r-1}$

 ${}^nC_r$

5. ${}^nC_r$ is equal to

 $\frac{n!}{ (n-r)!}$

 $\frac{n!}{r!}$

 $\frac{n!}{ r! (n + r)!}$

 $\frac{n!}{ r! (n-r)!}$

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

 $0< P(E) < 1$

 $P(E)>1$

 All of these

 $P(E) = \frac{n(E)}{n(S)}$

7. ${}^{n}C_7 + {}^nC_{8}=$

 ${}^{n}C_9$

 ${}^{n+1}C_7$

 ${}^{n+1}C_8$

 ${}^{n+1}C_9$

8. A fair coin is tossed, and the probability of getting a head or a tail is

 1/2

 0

 1/4

 1

9. The number of permutations of the word PANAMA when each word starts with $P$ is

 20

 120

 10

 60

10. The number of permutations of the Word PANAMA are

 120

 10

 60

 20

11. A complementary combination is

 ${}nC_{r+1}={}^nC_{r-1}$

 ${}nC_r={}^nC_{r-1}$

 ${}nC_r={}^nP_r$

 ${}nC_r={}^nC_{r-r}$

12. Any particular outcome of an experiment is called

 A trial

 An event

 Sample space

 Random variable

13. The set of all possible outcomes of an experiment is

 Simple event

 Sample space

 Random experiment

 Event

14. The number of Triangles of a 5-sided Polygon is

 15

 20

 10

 5

15. The number of Triangles of an $n$ sided polygon is

 ${}^nP_3-n$$

 ${}^nP_3$

 ${}^nC_3-n$

 ${}^nC_3$

16. For two events $A$ and $B$ if $A \cap B = \phi$, then events $A$ and $B$ are called

 Dependent

 Mutually exclusive

 Not mutually exclusive

 Overlapping

17. If two events $A$ and $B$ have an equal chance of occurrence, then the events are

 Not equally likely

 Not mutually exclusive

 Equally likely

 Dependent

18. The number of Diagonals of a 5-sided polygon is

 15

 10

 20

 5

19. If ${}^nC_8={}^nC_{12}$ then $n$ is equal to

 12

 20

 4

 8

20. A hockey team has 11 out of 15 players to be selected, and different teams if a particular player must be selected is —–?

 ${}^15P_{11}$

 ${}^15C_{11}$

 ${}^14P_{10}$

 ${}^14C_{10}$

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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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