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: 60

Step-by-step 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