One class of pupils took Math, Science and English tests. $$30$$ pupils passed the Math test, $$28$$ pupils passed the Science test, and $$25$$ students passed the English test. If $$43$$ pupils passed at least one test, at most how many pupils passed all three tests? 
Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Extreme Value in Inclusion-Exclusion for Multi-sets