Conceptual doubt

sir,can you tell me weather in subset based recursion problem like above we should think by pmi approach or first thinking of recursion tree and then building our logic?

this is the first step in case u see that there is some recursive structure
to solve a particular question

i did not get this term,. wht is it?

pmi means principle of mathematical induction

no no dude use recursion tree to question which have some type of recursive approach
i to havent ever used pmi to think of it