Grade 11 Permutation and Combination Worksheet

Permutation and Combination

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?

5. How many different committees of 3 people can be formed from a group of 7 people?

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.

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?