A cake-decorating robot Cici working at Computer Cupcakes Company has only 2 jobs: (1) put an undecorated cupcake down on a plate and (2) put icing on the cake to make a cupcake. Executing job (1) and then job (2) will give you a complete cupcake. Normally, Cici makes 8 cupcakes per minute by executing job (1) and (2) 8 times in the repeating order (1) (2) (1) (2).... However, Cici's program broke down yesterday so that while it still execute job (1) and (2) 8 times each per minute, the order of those job executions is now completely randomized. In how many ways of ordering can Cici still make 8 complete cupcakes?
Clarification : job ordering (1) (1) (2) (2) will give you 2 complete cupcakes. However, job ordering (2) (1) (2) (1) will give you only 1 complete cupcake because you can't put icing if there isn't a cake.
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