1. Which state name can generate more permutations, TENNESSEE or FLORIDA?
2. How many numbers greater than 4,000,000 can be formed from the digjts 2, 3, 4, 4, 5, 5, 5?
3. An interior decoramr is Lrying to arrange a shelf containing eight books, three with red covers, rhree wi th blue covers, and two with brown covers.
(a) Assuming Ihe titles and the sizes of 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 distinet?
(c) In how many ways could the be arranged if the red oooks were considered indistinguishable, but the other five were considered distinct?