Question

An experimenter is studying the effects of temperature, pressure, and different type of catalysts.

If there are 3 different temperatures, 4 different pressures, and 5 different catalysts, how many experimental runs are available?

Answer 1

Answer: 60

Explanation:

Given : The number of choices for different temperatures = 3

The number of choices for different pressures = 4

The number of choices for different catalyst = 5

Since , the experimenter is studying the effects of temperature, pressure, and different type of catalysts.

Then by using the Fundamental principle of counting , we have

The number of experimental runs are available = (number of choices for temperatures ) x (number of choices for pressures) x( number of choices for catalyst)

= 3 x 4 x 5 = 60

Hence, the number of experimental runs are available = 60