See Example 6. DISPLAYS Four companies will be displaying their products on tables at a...

See Example 6.

DISPLAYS Four companies will be displaying their products on tables at a convention. Each company will be assigned one of the displays shown below. The companies have expressed the following preferences:

1. Companies A and C don’t want display 2.

2. Company A wants display 3.

3. Company D wants display 1.

Which company will get display 4?

Reference Example 6.

Scheduling Classes An online college offers only one calculus course, one algebra course, one statistics course, and one trigonometry course. Each course is to be taught by a different professor. The four professors who will teach these courses have the following course preferences:

1. Professors A and B don’t want to teach calculus.

2. Professor C wants to teach statistics.

3. Professor B wants to teach algebra.

Who will teach trigonometry?

Strategy We will construct a table showing all the possible teaching assignments. Then we will cross off those classes that the professors do not want to teach

Why The best way to examine this much information is to describe the situation using a table.