Permutations – Formulae & Applications

Grade 11 Maths — Permutations – Formulae & Applications: 25 practice questions with instant scoring and explanations.

1. The permutation formula P(n, r) equals:
2. P(5, 2) equals:
3. P(6, 3) equals:
4. P(n, n) always equals:
5. P(n, 0) always equals:
6. P(n, 1) always equals:
7. Number of ways to arrange 5 distinct books in a row:
8. Number of ways to select and arrange 3 students from 7:
9. Number of permutations of {A, B, C}:
10. Number of ways to arrange 4 people in 4 chairs:
11. If P(n, 2) = 12, then n equals:
12. If P(n, 2) = 20, then n equals:
13. Number of different 3-digit numbers from {1, 2, 3, 4, 5} without repetition:
14. Number of ways to fill 3 different posts from 10 candidates:
15. In how many ways can 6 people sit around a table (all arrangements are different)?
16. Number of permutations of n things taken r at a time is denoted by:
17. P(7, 4) equals:
18. Number of ways to arrange the letters of WORD:
19. Number of ways to arrange 3 red and 2 blue balls in a row is:
20. Relation between P(n, r) and P(n, n-r):
21. Number of ways to arrange 5 people in a circle (rotations count as same):
22. Number of ways to arrange letters of BOOK (2 O's identical):
23. Number of distinct permutations of n objects with n₁ identical of type 1, n₂ of type 2:
24. Number of arrangements of MISSISSIPPI:
25. P(8, 2) equals: