In this article, we used examples in a variety of contexts to show how minor differences in combinatorics problems can result in major misconceptions in a novice solver. While the standard categorization of these problems into different types can ease this difficulty to some extent, many problems do not belong to one and only one category. A variety of problems need to be presented to students so that they can gain a better conceptual understanding of the problems and become familiar with the common pitfalls that must be avoided.