When three positive integers $a$, $b$, and $c$ are multiplied together, their product is 100. Suppose $a \textless{} b \textless{} c$. In how many ways can the numbers be chosen? 
选项为:A:$$0$$  B:$$1$$  C:$$2$$  D:$$3$$  E:$$4$$  请回答其中一个选项.