In a foreign language study group, everyone can speak at least one language: French, Japanese, or Italian. In this group, $$15$$ people can speak French; $$12$$ people can speak Japanese, and $$13$$ people can speak Italian. In addition, $$5$$ people can speak both French and Japanese; $$3$$ people can speak both French and Italian; $$2$$ people can speak both Japanese and Italian. Only one person can speak all three languages. Find the number of people in this foreign language study group. 
Overseas Competition->Knowledge Point->Counting Modules->Inclusion-Exclusion Principle->Inclusion-Exclusion Principle for Three Sets Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations