Counting Principle Worksheet
A Grade 10 math worksheet covering fundamental counting principle, permutations, and combinations with real-world problems.
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Counting Principle 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. A restaurant offers a dinner special with 3 appetizer choices, 5 main course choices, and 2 dessert choices. How many different dinner specials are possible?
10
15
30
60
2. The Fundamental Counting Principle states that if there are 'm' ways to do one thing and 'n' ways to do another, then there are ways to do both.
3. A permutation is an arrangement of items where the order , while a combination is an arrangement where the order .
4. How many different ways can the letters of the word 'MATH' be arranged?
5. A committee of 3 people needs to be chosen from a group of 7 volunteers. How many different committees can be formed?
6. The number of permutations of 'n' items taken 'r' at a time is given by the formula P(n, r) = n! / (n-r)!.
True
False
7. A license plate consists of 3 letters followed by 3 digits. If repetition of letters and digits is allowed, how many different license plates are possible?
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