Permutations – Restricted Permutations, Circular Permutations

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?