Final answer:
The students' favorite radio station cannot be determined using the plurality with elimination method since all four radio stations are equally liked.
Step-by-step explanation:
To determine the students' favorite radio station among the four (WNNX, WKLS, WWVV, WSTR), we can use the plurality with elimination method. This method involves comparing the number of votes each radio station receives and eliminating the radio station with the fewest votes until we are left with the favorite.
In this case, since all four radio stations are equally liked, we will need to eliminate them one by one, starting with the radio station that receives the fewest votes in each round.
Since there is no preference towards any radio station, it would be impossible to determine a favorite radio station using the plurality with elimination method.