# Activities

• ##### Download

• • ##### Subject Area

• Math: Statistics: Probability and Random Variables

• ##### Author 9-12

60 Minutes

• ##### Device
• TI-30X IIB
• TI-30X IIS
• TI-34 II Explorer Plus™
• ##### Other Materials
This is Activity 14 from the EXPLORATIONS Book:
Math Investigations with the TI-30X IIS: Activities for Secondary Mathematics

• ##### Report an Issue

Let Us Count the Ways!

#### Activity Overview

Students evaluate expressions using permutations and combinations of data elements on the calculator. They solve problems using these counting principles.

#### Before the Activity

• Understand the concept of permutations and combinations
• See the attached PDF file for detailed instructions for this activity
• Print pages 141 - 142 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

Follow the activity procedures:

• Find the number of all possible arrangements in a situation using the multiplication counting principle
• Use the calculator to solve factorial problems
• Use the multiplication counting principle to understand permutation and use the calculator to solve permutation problems
• Determine the various possible arrangements of letters in a given word
• Apply the formula for determining the number of combinations and solve problems
• #### After the Activity

Students complete the Student Activity pages.

• Review student results
• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary