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Permutations – Restricted Permutations, Circular Permutations

Maths Higher · Grade 11 · Week 16 · 25 questions

This Grade 11 mathematics chapter on Permutations introduces Restricted Permutations and Circular Permutations. These methods reappear throughout Grade 12 and in board + competitive exam papers.

What you'll practise

  • Identify Restricted Permutations
  • Identify Circular Permutations
  • Apply permutations concepts to NCERT exercise and exemplar problems
All 25 questions in this Permutations – Restricted Permutations, Circular Permutations quiz

Grade 11 Maths Higher — Permutations – Restricted Permutations, Circular Permutations: 25 practice questions with instant scoring and explanations.

  1. The number of circular permutations of n distinct objects is:
  2. How many ways can 5 people sit around a circular table?
  3. The number of ways to arrange 6 beads on a circular bracelet considering flips as identical is:
  4. In how many ways can 7 distinct objects be arranged in a circle considering rotations as identical?
  5. How many 4-digit numbers can be formed from 1, 2, 3, 4, 5, 6 where the first digit is 1?
  6. The number of ways to arrange the letters of MATHEMATICS where all M's are together:
  7. From 8 different books, how many ways can 4 books be selected and arranged if specific 2 books must be included?
  8. The number of ways to arrange AABBCC where A's are together and B's are together:
  9. How many 5-digit numbers can be formed using 1, 2, 3, 4, 5 where 1 and 2 are adjacent?
  10. In how many ways can 6 men and 4 women sit in a row if men sit together and women sit together?
  11. The number of ways to place 5 different books in a line where a specific book must be at one end:
  12. How many permutations of AABBCC are there?
  13. The number of ways to arrange 5 red and 4 blue balls in a row:
  14. In a circular arrangement of 6 people where 2 specific people must sit together, the number of ways is:
  15. How many ways can the letters of PROGRAMMING be arranged?
  16. The number of ways to arrange 8 different objects in a circle where clockwise and counter-clockwise are considered identical:
  17. From 10 different items, how many ways can 6 be selected and arranged if 2 specific items must not be selected together?
  18. How many 6-digit numbers can be formed using 1, 1, 2, 2, 3, 3?
  19. The number of ways 12 different books can be arranged in 3 identical shelves with 4 books each:
  20. In how many ways can 7 identical balls and 3 different boxes be arranged such that no box is empty?
  21. The number of 4-letter permutations from MISSISSIPPI where no two S's are adjacent:
  22. How many ways can 5 men and 5 women sit in a circle alternately?
  23. The number of ways to arrange the word SUNDAY such that vowels are always together:
  24. How many distinct necklaces can be made using 5 different colored beads?
  25. In how many ways can 5 people sit around a circular table if 2 specific people must sit together?
Question 1 of 250 correct so far

The number of circular permutations of n distinct objects is:

Week 15: Permutations – Fundamental Counting Principle, Factorial, nPrWeek 17: Combinations – nCr, Properties, Applications