Veronica rolls three six-sided dice. The product of the three numbers is $$90$$.  What is the sum of the three numbers? 
Overseas Competition->Knowledge Point->Counting Modules->Permutations and Combinations->Combinations
Given that the numbers on a die are $$1$$, $$2$$, $$3$$, $$4$$, $$5$$ and $$6$$, to achieve a product of $$90$$, one of the numbers must be $$5$$ and the other two must have a product of $$18$$. Thus the numbers can only be $$3$$, $$5$$ and $$6$$ , whose sum is $$14$$. 