(1 pt) There are 13 portable mini suites (a. cages) in a row at the Paws and Claws Holiday Pet Resort. They are neatly labeled with their guests'...

(1 pt) There are 13 portable mini suites (a.k.a. cages) in a row at the Paws and Claws Holiday Pet Resort. They are neatly labeled with their guests' names. There are 6 poodles and 7 tabbies. Answer the following questions, entering your answers using factorial notation. How many ways can the "suites" be arranged if:

a) there are no restrictions.

b) cats and dogs must alternate.

c) dogs must be next to each other.

d) dogs must be next to each other and cats must be next to each other.