Question: Distributing Coins

In this lesson, we're looking at the technique of Listing & Counting, in which we simply list all possible outcomes and them count those outcomes.

So, there aren't any sophisticated counting techniques involved here (like using the Fundamental Counting Principle, which involves multiplication)

There's no way to solve this question using the fundamental counting principle, unless we consider a crazy number of cases. The purpose of the question is to show the utility of listing and counting.

That question requires us to use a technique known as partitioning, which is beyond the scope of the GRE.

If you're interested in learning more, see my response to the the following question: http://www.beatthegmat.com/very-tricky-counting-problem-t25349.html