Besides, we are mostly interested in finding the number of elements in the set, rather than the actual list of all possibilities; once the problem is envisioned, we can solve it without a tree diagram...Besides, we are mostly interested in finding the number of elements in the set, rather than the actual list of all possibilities; once the problem is envisioned, we can solve it without a tree diagram. The reader should note that the first letter in each possibility is the answer corresponding to the first question, the second letter corresponds to the answer to the second question, and so on.