Amy can walk from home to school past the audio shop, the book shop or the chapel. There are $$6$$, $$4$$ and $$5$$ paths from her home to the audio shop, book shop and chapel respectively. There are $$2$$, $$2$$ and $$3$$ paths from the audio shop, book shop and chapel to her school respectively. How many paths are there from home to school? 
Overseas Competition->Knowledge Point->Counting Modules->Law of Addition and Multiplication