GMSTAT

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. ${}^nC_r$ is equal to

 $\frac{n!}{ r! (n + r)!}$

 $\frac{n!}{r!}$

 $\frac{n!}{ r! (n-r)!}$

 $\frac{n!}{ (n-r)!}$

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

 60

 10

 20

 120

3. Any particular outcome of an experiment is called

 An event

 Random variable

 A trial

 Sample space

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

 Random experiment

 Event

 Sample space

 Simple event

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

 Dependent

 Not mutually exclusive

 Equally likely

 Not equally likely

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

 0

 1

 1/2

 1/4

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

 10

 15

 20

 5

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

 Dependent

 Not mutually exclusive

 Mutually exclusive

 Overlapping

9. ${}^nP_r$ is equal to

 $\frac{n!}{r!}$

 $\frac{n!}{ (n – r)! }$

 $\frac{n!}{ r! (n+1r)!}$

 $\frac{n!}{ r!(n-r)! }$

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

 ${}^nP_3$

 ${}^nC_3$

 ${}^nC_3-n$

 ${}^nP_3-n$$

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

 ${}^15C_{11}$

 ${}^14C_{10}$

 ${}^15P_{11}$

 ${}^14P_{10}$

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

 ${}^{n}C_9$

 ${}^{n+1}C_9$

 ${}^{n+1}C_7$

 ${}^{n+1}C_8$

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

 ${}^{n-1}C_r$

 ${}^{n-1}C_{r-1}$

 ${}^nC_r$

 ${}^nC_{r-1}$

14. 5 Persons can be seated at a round table in ways

 120

 12

 24

 720

15. A complementary combination is

 ${}nC_{r+1}={}^nC_{r-1}$

 ${}nC_r={}^nP_r$

 ${}nC_r={}^nC_{r-r}$

 ${}nC_r={}^nC_{r-1}$

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

 8

 4

 12

 20

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

 $P(E)>1$

 All of these

 $P(E) = \frac{n(E)}{n(S)}$

 $0< P(E) < 1$

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

 between 0 and 1

 0

 1

 not defined

19. The number of permutations of the Word PANAMA are

 120

 60

 10

 20

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

 20

 5

 15

 10

 Loading …

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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