Really no idea if this is the right section or not so apologies if it isn't, this section was my best guess.

The question comes in two parts:

i) A 2-ary logical operator takes two propositions, P1 and P2, and gives a truth value depending on the truth values of P1 and P2. Conjunction and disjunction are examples of 2-ary operators. How many 2-ary operators are there? Explain.

ii) A k-ary operator takes k propositions, P1.... Pk. How many k-ary operators are there? Explain your answer.

For the first part if I interpret the question right then my answer would be four (conjunction, disjunction, implication and equivalence).

The second part I'm completely baffled on, it's not so much how to do the question that's troubling me but more what is being asked. I was in a class where the question was being discussed and I overheard that 2^2k was close to the answer and I don't see how the question is asking for anything like that. It's also made me doubt my answer to the first question. Wondering if my understanding of the terms is a bit off.

Thanks for any help!