Question

A metallurgist is designing an experiment to determine the effect of flux, base metal, and energy input on the hardness of a weld. She wants to study four different fluxes, two different base metals, and three different amounts of energy input. If each run of the experiment involves a choice of one flux, one base metal, and one amount of energy input, how many different runs are possible?

Answer 1

Answer: 24

Step-by-step explanation:

Given : A metallurgist wants to study four different fluxes, two different base metals, and three different amounts of energy input.

i.e. 4 different choices for fluxes.

2 different choices for base metals.

3 different choices for amounts of energy input.

If each run of the experiment involves a choice of one flux, one base metal, and one amount of energy input.

Then , the number of runs are possible :-

$4\times2\times3=24$

Hence, there are 24 different runs are possible .