Grade 11 Permutation and Combination Worksheet
A worksheet for Grade 11 students covering fundamental concepts and problems in permutation and combination, including factorial notation and arrangements.
Includes
Standards
Topics
Permutation and Combination
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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 is an arrangement of objects in a specific order.
2. A is a selection of objects where the order does not matter.
3. The factorial of a non-negative integer n, denoted by n!, is the product of all positive integers less than or equal to n. For example, 5! = .
4. In how many ways can 6 distinct books be arranged on a shelf?
120
720
360
180
5. How many different committees of 3 people can be formed from a group of 7 people?
21
35
42
210
6. A password consists of 4 distinct digits followed by 2 distinct letters. How many different passwords can be created?
7. From a group of 10 students, a team of 4 is to be selected for a competition. In how many ways can this team be selected?
Match the following expressions with their correct values.
8. 4!
a. 1
9. P(5, 2)
b. 24
10. C(6, 3)
c. 20
11. 0!
d. 20
12. A club has 12 members. They need to elect a president, a vice-president, and a secretary. How many different slates of officers are possible?
13. A pizza shop offers 8 different toppings. If a customer can choose any 3 toppings, how many different 3-topping pizzas are possible?