Let's Play A GameDiscrete Mathematics Level 3
You make a guess of any subset \(T\), and I will then tell you how many elements there are in \( T \cap S \).
You continue making different choices of \(T\) until you are able to exactly determine \(S\). What is the minimum number of guesses that are necessary?
Note: You do not need to pick \(S\) as one of your choices.