Counting Principle Worksheet
Explore the fundamental counting principle with these problems, covering permutations and combinations for Grade 9 students.
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Counting Principle Worksheet
Name:
Date:
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Read each question carefully and use the fundamental counting principle to find the number of possible outcomes. Show your work where applicable.
1. A restaurant offers 4 appetizers, 5 main courses, and 3 desserts. How many different 3-course meals can be ordered?
12
20
60
120
2. How many different 4-digit codes can be formed using digits 0-9 if repetition is allowed?
1000
4000
6561
10000
3. If a student has 5 shirts, 3 pairs of pants, and 2 pairs of shoes, they can create different outfits.
4. The number of ways to arrange the letters in the word 'MATH' is .
5. A password requires 6 characters. The first three characters must be letters (A-Z, case-sensitive) and the last three must be digits (0-9). How many distinct passwords are possible if repetition is allowed?
6. In how many ways can 5 different books be arranged on a shelf?
7. The fundamental counting principle is used when the order of selection matters.
True
False
8. A permutation is an arrangement of items where order does not matter.
True
False