Chapter 5.3, Problem 33ES

What would be an example of this as a community prop of multiplication

How many permutations of a rectangle are there?  How do I calculate that?    How many permutations are in a regular dodecahedron (12 sided)?

Suppose a standard​ six-sided die is rolled and you receive $4.50for every dot showing on the top of the die. What should the cost of playing the game be in order to make it a fair​ game?   The cost of playing the game should be $________.​ (Type an integer or a​ decimal.)

State whether each arrangement represents a permutation or a combination.   a. 8 people seated around a circular table

two diagonally opposite corners of a standard chessboard are removed. Is it possible to cover the remaining 62 squares with 31 dominos?

Find the number of different types of full houses. (Ignoring suit.)

Find the number of ways of getting at least a pair when randomlygetting nine cards from a standard deck.

In the New York state lottery game “Lotto” a player wins the grand prize by choosing the same group of 6 numbers from 1 through 59 as is chosen by the computer. How many 6-number groups are possible?

KenKen puzzle.