1. Lesson 3

1.1. Discover

Mathematics 30-1 Module 8

Module 8: Permutations, Combinations, and the Binomial Theorem

 

Discover
 
Try This 1

 

Suppose you are planning to open an ice cream stand and have 4 kinds of ice cream: chocolate, vanilla, strawberry, and tiger. You plan to serve 2 different scoops at a time. Use Two Scoops to determine how many two-flavour cones can be made.

 

 
This is a play button that opens Two Scoops.
  1. If you wanted to advertise the number of different two-flavour cones available, would you calculate the number available by using 4P2 = 12? Explain.
  2. If you added another flavour, blueberry, how many different cones could you produce?

course folder Save your responses in your course folder.

 

Share 1

 

With a partner or group, discuss the following questions based on what you discovered in Try This 1.

  1. In Two Scoops, what do you suppose the 4 and the 2 represent in 4C2 if the C stands for combination?
  2. Think of another scenario where you might use combinations instead of permutations.

course folder If required, save a record of your discussion in your course folder.