Permutations Practice Worksheet
A Grade 7 math worksheet focusing on understanding and calculating permutations for various scenarios.
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Permutations Practice Worksheet
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Read each question carefully and calculate the number of possible permutations. Show your work where applicable.
1. How many different ways can you arrange the letters in the word 'MATH'?
2. A chef has 5 different ingredients. In how many different orders can he use all 5 ingredients to create a dish?
3. In a race with 6 runners, how many different ways can the runners finish first, second, and third?
4. A permutation is an arrangement of objects in a specific .
5. The number of permutations of 'n' distinct objects taken 'r' at a time is denoted by P(n, r) or nPr, and can be calculated using the formula n! / .
6. Which of the following scenarios involves a permutation?
Choosing 3 friends out of 10 to go to the movies.
Selecting 2 toppings for a pizza.
Arranging books on a shelf.
Picking 5 cards from a deck of 52.
7. How many distinct permutations can be made from the letters of the word 'APPLE'?
120
60
24
5
8. The order of arrangement matters in permutations.
True
False
9. If you have 3 different shirts and 2 different pants, there are 5 permutations of outfits.
True
False
10. Explain the difference between a permutation and a combination. Provide an example for each.