Scientists were studying the amount of vitamins $$\rm A$$, $$\rm C$$, and $$\rm E$$ contained in fruits. Every type of fruit investigated contained at least one of the three vitamins. It was found that there were $$62$$ types of fruit containing vitamin $$\rm A$$, $$90$$ types of fruit containing vitamin $$\rm C$$ and $$68$$ types of fruit containing vitamin $$\rm E$$. In addition, there were $$48$$ types of fruit containing both vitamin $$\rm A$$ and $$\rm C$$, $$36$$ types of fruit containing both vitamin $$\rm A$$ and $$\rm E$$, and $$50$$ types of fruit containing both vitamin $$\rm C$$ and $$\rm E$$. Furthermore, there were $$25$$ types of fruit containing all three types of the vitamins. How many types of fruit were studied? 
Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Three Sets