Combinations – Formulae & Applications

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

1. The combination formula C(n, r) equals:
2. C(5, 2) equals:
3. C(6, 3) equals:
4. C(n, n) always equals:
5. C(n, 0) always equals:
6. C(n, 1) always equals:
7. Number of ways to choose 2 students from 5 (order doesn't matter):
8. Number of ways to choose 3 items from 7 identical items:
9. C(n, r) = C(n, n-r) is known as:
10. C(7, 2) equals:
11. If C(n, 2) = 10, then n equals:
12. If C(n, 2) = 15, then n equals:
13. Number of ways to select 3 books from 8 distinct books:
14. Number of ways to choose 4 students from 10 for a committee:
15. Relation between C(n, r) and P(n, r):
16. C(8, 4) equals:
17. Number of ways to choose a 5-card hand from a 52-card deck:
18. Number of ways to choose 2 people from 10 where order matters:
19. C(10, 3) equals:
20. From 6 red and 4 blue balls, ways to choose 2 red and 1 blue:
21. C(n, r) + C(n, r+1) equals:
22. Number of ways to partition 10 students into 2 groups of 5 each:
23. C(9, 3) equals:
24. Number of diagonals in a hexagon:
25. Number of ways to choose 3 from 12 items equals: