MCQs Permutations Combinations 14

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Test your knowledge of permutations and combinations with this interactive quiz! The MCQs Permutations Combinations Quiz covers essential concepts like factorials, combinations, arrangements, and real-world applications. This quiz is perfect for students and enthusiasts looking to sharpen their probability and counting skills. Let us start with the MCQs Permutation Combinations Quiz now.

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Online MCQs Permutations Combinations with Answers

Online Quiz about Permutations and Combinations with Answers

1. ${}^{10}C_5=$

 
 
 
 

2. A homeowner doing some remodeling requires the services of both a plumbing contractor and an electrical contractor. If there are 15 plumbing contractors and 10 electrical contractors available in the area, in how many ways can the contractors be chosen?

 
 
 
 

3. ${}^nP_r$ =

 
 
 
 

4. The number of ways to select 2 persons from 6, ignoring the order of selection, is

 
 
 
 

5. An experiment consists of three stages. There are five ways to accomplish the first stage, four ways to accomplish the second stage, and three ways to accomplish the third stage. The total number of ways to accomplish the experiment is

 
 
 
 

6. The number of 3-digit telephone area codes that can be made if repetitions are not allowed is

 
 
 
 

7. ${}^5C_5$ is equal to

 
 
 
 

8. An arrangement of all or some of a set of objects in a definite order is called

 
 
 
 

9. In how many ways can a team of 6 players be chosen from 11 persons

 
 
 
 

10. An arrangement of objects without caring for the order is called

 
 
 
 

11. Which of the following statements is true?

 
 
 
 

12. The $0!$ is

 
 
 
 

13. Seventeen teams can take part in the Football Championship of a country. In how many ways can the Gold, Silver, and Bronze medals be distributed among the teams?

 
 
 
 

14. How many combinations of size 4 can be formed from a set of 6 distinct objects?

 
 
 
 

15. How many permutations of size 3 can be constructed from the set (A, B, C, D, E)?

 
 
 
 

16. ${}^nC_r$ =

 
 
 
 

17. In how many ways can be letters in the word UNIVERSITY be arranged randomly

 
 
 
 

18. $n!=$?

 
 
 
 

19. How many terms are in the expansion of the $(q+p)^n$

 
 
 
 

20. The difference between permutation and combination lies in the fact that

 
 
 
 

Question 1 of 20

Online MCQs Permutations Combinations

  • The number of ways to select 2 persons from 6, ignoring the order of selection, is
  • $n!=$?
  • An arrangement of all or some of a set of objects in a definite order is called
  • An arrangement of objects without caring for the order is called
  • ${}^nP_r$ =
  • ${}^nC_r$ =
  • In how many ways can a team of 6 players be chosen from 11 persons
  • How many terms are in the expansion of the $(q+p)^n$
  • ${}^{10}C_5=$
  • ${}^5C_5$ is equal to
  • The difference between permutation and combination lies in the fact that
  • Which of the following statements is true?
  • A homeowner doing some remodeling requires the services of both a plumbing contractor and an electrical contractor. If there are 15 plumbing contractors and 10 electrical contractors available in the area, in how many ways can the contractors be chosen?
  • How many permutations of size 3 can be constructed from the set (A, B, C, D, E)?
  • How many combinations of size 4 can be formed from a set of 6 distinct objects?
  • An experiment consists of three stages. There are five ways to accomplish the first stage, four ways to accomplish the second stage, and three ways to accomplish the third stage. The total number of ways to accomplish the experiment is
  • The $0!$ is
  • In how many ways can be letters in the word UNIVERSITY be arranged randomly
  • Seventeen teams can take part in the Football Championship of a country. In how many ways can the Gold, Silver, and Bronze medals be distributed among the teams?
  • The number of 3-digit telephone area codes that can be made if repetitions are not allowed is

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