An interior decorator is trying to arrange a shelf containing eight books, three with red covers, three with blue covers, and two brown covers.

a) Assuming the titles and the sizes and the books are irrelevant, in how many ways can she arrange the eight books?

b) In how many ways could the books be arranged if they were all considered distinct?

c) In how many ways could the books be arranged if the red books were considered indistiguishable, but the other five were considered distinct?