Grade 12 Permutations and Combinations Worksheet
This worksheet covers fundamental concepts and problem-solving in permutations and combinations suitable for Grade 12 students.
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Permutations and Combinations Worksheet
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. In how many ways can 5 different books be arranged on a shelf?
5
25
120
625
2. A committee of 3 people is to be chosen from a group of 7 people. How many different committees can be formed?
21
35
210
840
3. A permutation is an arrangement of objects in a specific .
4. A combination is a selection of objects where the order matter.
5. The number of permutations of n distinct objects taken r at a time is given by the formula P(n, r) = .
6. The number of combinations of n distinct objects taken r at a time is given by the formula C(n, r) = .
7. Explain the difference between a permutation and a combination with an example.
8. How many distinct arrangements can be made from the letters of the word 'MISSISSIPPI'?
9. If the order of selection matters, it is a combination.
True
False
10. The number of permutations of n items taken n at a time is n!.
True
False
Match the term with its definition.
11. Factorial
a. An arrangement of objects where order matters.
12. Permutation
b. The product of all positive integers less than or equal to a given positive integer.
13. Combination
c. A selection of objects where order does not matter.