Permutation and Combination Worksheet
Grade 10 Math worksheet covering fundamental concepts of permutations and combinations with various problem types.
Includes
Standards
Topics
Permutation and Combination
Name:
Date:
Score:
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
10
25
120
2. From a group of 7 students, how many different committees of 3 students can be formed?
21
35
210
840
3. A is an arrangement of objects in a specific order.
4. A is a selection of objects where the order does not matter.
5. The number of permutations of n objects taken r at a time is given by the formula P(n, r) = n! / .
6. A photographer is arranging 6 people in a row for a picture. In how many different ways can the photographer arrange the people?
7. A pizza place offers 10 different toppings. If you can choose any 3 toppings for your pizza, how many different combinations of toppings are possible?
8. The number of combinations of n items taken r at a time is always less than or equal to the number of permutations of n items taken r at a time.
True
False
9. If order matters, it is a combination problem.
True
False
Match the term with its definition.
10. Factorial
a. An ordered arrangement of items.
11. Permutation
b. The product of an integer and all the integers below it.
12. Combination
c. A selection of items where the order does not matter.
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