A scientist conducts an experiment in which the outcome is a

A scientist conducts an experiment in which the outcome is a function of three factors: A,B, and C. Factor A can be set at three levels, factor B can be set at six levels, and factor C at four levels. If all the possible levels of each factor are to be observed with all the possible levels of each of the other factors, how many experimental runs will have to be made?

Solution

A has 3 levels, B has 6, C has 4.

Hence, we need 3*6*4 = 72 runs. [ANSWER]