1. Lesson 4

1.4. Discover

Mathematics 30-2 Module 3

Module 3: Permutations, Combinations, and the Fundamental Counting Principle

 

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 (licorice). You plan to serve 2 different scoops at a time. Use the interactive piece titled Two Scoops to determine how many 2-flavour cones can be made.

 

 

This is a play button for Two Scoops.

  1. If you wanted to advertise the number of different 2-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. What do you suppose the 4 and the 2 represent in 4C2 from the interactive Two Scoops if the C stands for combination?
  2. Describe another scenario where you might use combinations (i.e., arrangements where order doesn’t matter) instead of permutations.

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