Final answer:
The term 'infinite set' refers to a collection with no end, and in this context, 'sand in a vase' can be considered infinite. A 'finite set' is one where the elements can be counted and have an end, such as students in a class. Without further context, the third part regarding 'Alether the rabot Voir NS date' cannot be accurately addressed, but a finite set example would be the number of books in a library.
Step-by-step explanation:
To answer the first question, which asks which of the following is an infinite set, let's define what an infinite set is. An infinite set is a collection of elements that continues indefinitely, with no end. Looking at the options provided: students in a class, churches in St Ann's Bay, sand in a vase, and players on a football team - all these sets have a finite number of elements. However, we can interpret 'sand in a vase' as having a very large number of individual grains of sand that can be considered practically infinite for our purposes.
For the second question, a finite set is a collection of elements that is countable and has an ending. The correct answer to what a finite set is would be 'A set in which the members are countable'.
Now, let's address the third part of your question regarding identifying another finite set. Without additional context, it's unclear what 'Alether the rabot Voir NS date' refers to. However, as a general rule, a finite set could be something like the number of books in a library or the number of students enrolled in a school.