The 12 Fold Way table can be used to solve a variety of different problems.  The three main equations for sequences, permutations and combinations are included, as well as others we will learn about in upcoming lectures.  By using this table, we can easily distinguish between what equation we need to use depending on the different scenarios. For example, if we need to place distinct candies in b distinct bags with any amount of candy in each bag, we can see that we would use the equation \(b^x\).      \(\)
   As we continue to learn more equations for different scenarios, this table will make our lives easier because we can break different problems down into something that looks similar to our table. If we know two things are distinct or identical, as well as if repetition or order matters, we can use the 12 Fold Way Table as reference to help us solve the problem. If we had d identical desks we were placing into distinct classrooms, we could easily compare the desks to the candies, and the classrooms to the bags. If we needed to find the number of ways we could distribute the desks into the classrooms so that each classroom gets at least one desk, we could use our 12 Fold Way Table to see the equation for such a problem would be