Permutation Combination Math MCQs 4

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 ${}^nC_5={}^nC_9$​, then $n$=?

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

16. The sample space for tossing a coin is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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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