Final answer:
The equation xyzt=15 has four possible combinations of positive integer solutions.
Step-by-step explanation:
The equation xyzt=15 can be solved by listing out the factors of 15 and finding all the possible combinations of positive integers that multiply to equal 15.
Factors of 15 are:
Therefore, there are four possible combinations of positive integer solutions: (1, 1, 1, 15), (1, 1, 3, 5), (1, 3, 1, 5), and (3, 1, 1, 5).