Counting Principle Worksheet
Explore the fundamental counting principle, permutations, and combinations with this Grade 12 math worksheet.
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Counting Principle
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
1. A restaurant offers 5 appetizers, 8 main courses, and 4 desserts. How many different 3-course meals can be ordered?
2. A license plate consists of 3 letters followed by 3 digits. How many different license plates are possible if repetition of letters and digits is allowed?
3. In how many ways can 6 distinct books be arranged on a shelf?
6
36
720
6!
4. How many distinct permutations can be made from the letters of the word 'MISSISSIPPI'?
11!
34,650
11! / (4! * 4! * 2!)
Both b and c
5. A committee of 3 people is to be chosen from a group of 10 people. How many different committees can be formed?
6. From a deck of 52 cards, how many different 5-card hands can be dealt?
7. The number of ways to arrange 'n' distinct objects is given by n! which is read as .
8. A permutation is an arrangement of objects where the order .
9. A combination is a selection of objects where the order .
10. If you have 7 different colors of paint and you want to choose 3 to mix, the number of ways you can choose them is a problem.
11. The formula for permutations of n objects taken r at a time is nPr = n! / (n-r)!.
True
False
12. If you are selecting a team of 5 players from 12 available players, this is an example of a permutation.
True
False