Question

In a survey on favorite parts of college, students were asked to choose their favorite professor (from a list of four popular professors), favorite meal in the dining hall (from a list of five popular meals), and favorite weekend activity (from a list of six popular activities). Calculate the number of different ways the survey can be filled out if students select one from each category.

Answer 1

The survey can be filled out in 120 different ways.

Explanation:

The possible options are:

One professor from a set of four.

One meal from a set of five.

One weekend activity from a set of six.

Calculate the number of different ways the survey can be filled out if students select one from each category.

The multiplication of the number of possible outcomes for each trial. So

4*5*6 = 20*6 = 120

The survey can be filled out in 120 different ways.