I hope you do well with your book but I have found most don't understand what can happen when you get creative when counting. They try to relate to things they are familiar with that don't have the same potential. It is like trying to play 3 dimensional chess but failing to consider the 3 dimensional moves that the new way of doing things allow. Or playing triple yahtzee by completing each row before moving to the next row. The new procedures allow you to do things you couldn't with the old system. If you don't understand the new opportunities you will fail to consider them.