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# Combinations and Permutations Exam #2 Grade 10 Worksheet

1. Arranging seven plotted plants in a row.
A. Permutation
2. Five different books arranged on a shelf.
A. Permutation
3. Eight letter codes in the word CALCULUS.
A. Permutation
4. Club election of five students with 45 members.
B. Combination
5. Determining the top three winners in a Math Quiz bee.
A. Permutation

6. Ten students seated in a row of 10 chairs for pictorial.
A. Permutation

7. Selection of five students in a committee out of 10 students.
B. Combination
8. Selecting a sample size of 10 from a population consists 50 household.
B. Combination
9. Arranging six couples in a picture taking where in a row couples must be together.
A. Permutation

10. If there are 7 distinct points on a plane with no three of which are collinear, how many different polygons can be possibly formed?
B. Combination
11. Arranging the first, second, and the third placer of fifteen runners joining the race.
A. Permutation

12. 8 basketball teams competing for the top 4 standing in order to move up to the semi-finals.
A. Permutation

13. In a 20- item Mathematics problem- solving test, how many ways can you select 10 problems to solve?
B. Combination
14. Eight family members seating in a circular table with 4 chairs.
A. Permutation

15. If 3 marbles are picked randomly from a jar containing 6 red marbles and 8 green marbles, in how many possible ways can it happen that at least 2 of the marbles picked are green?
B. Combination

16. P(n, 6) = 20,160
8
17. P(14, r) = 2,184
3
18. nP4 = 24
4
19. nP3 = 28 (nP2)
30
20. P(20, r) = 1,860,480
5
21. P(n, 3) = 5!
6
22. P(7, r) = 840
4
23. P(6, r) = 30
2
24. nP4 = 28 {(n – 1)P2)}
7
25. P(18, r) = 73,440
4
26. C(n, 4) = 5
5
27. C(n, 6) = 924
12
28. C(n, 4) = 70
8
29. C(11, r) = 165
8
30. C(9, r) = 36
7

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