Question:
(a) Suppose that a cookie shop has four different kinds of cookies. Assuming that only the type of cookie, and not the individual cookies or the order in which they are chosen, matters, how many different ways can six cookies be chosen?
(b) How many ways are there to assign three jobs to five employees if each employee can be given more than one job?
(c) Suppose that a large family has 14 children, including two sets of identical triplets, three sets of identical twins, and two individual children. How many ways are there to seat these children in a row of chairs if the identical triplets or twins cannot be distinguished from one another?