Answer: 24
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 :-

Hence, there are 24 different runs are possible .