Lesson: Counting Outcomes with Restrictions Mathematics

In this lesson, we will learn how to count the number of possible outcomes when we have restrictions.

Lesson Plan

Objectives

Students will be able to

find the number of outcomes in a probability problem with a condition,
solve real-world problems involving counting outcomes with restrictions.

Prerequisites

Students should already be familiar with

finding the number of outcomes in a probability problem without a condition.

Exclusions

Students will not cover

calculating probabilities.

Lesson Video

Lesson Explainer

Sample Question Videos

04:07
01:24
03:06

Lesson Worksheet

Q1:

David’s password must be five characters long. He can use the digits 0 to 9, and cannot use the same digit more than once. How many different passwords could David create?

Q2:

In how many ways can an odd number of 6 digits be formed using the numbers if no digits are to be repeated?

Q3:

How many three-digit even numbers, with no repeated digits, can be formed using the elements of the sets ?