A school has 200 students. However, these are special students: some of them ALWAYS tell the truth, and the rest of them, alas, NEVER tell the truth. Among the subject areas of math, science, and social studies, each student has one favorite. A survey was conducted where each student was asked three yes or no questions: "Do you like math the most?" "Do you like science the most?" "Do you like social studies the most?"

The results were as follows:


104 students said "yes," they liked math the most.
86 students said "yes," they liked science the most.
60 students said "yes," they liked social studies the most.

How many students tell the truth, and how many do not?


Good luck