How many different ways can you pick four objects out of eight objects and arrange them in order?

Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight DVD players. How many different TV/DVR/DVD systems can you assemble?

How many different baseball bating line ups are possible if the coach wants to put one of the three best batters in the third position and the pitcher in the fifth position?

Find the number of ways to arrange the following 9 books on a shelf: 2 identical Math books, 4 different Physics books, and 3 identical Chemistry books, so that the Chemistry books are together.

A landscaper has 8 different flowering plants. She needs to plant 4 of them in a row in agarden. How many different ways can 4 of the 8 plants be arranged in a row?

Jerri has 210 stamps in her collection. She wants to arrange her stamps in a rectangular array so there are the same number of stamps in each row without any left over. What are all the different ways she can arrange her stamps, not worrying about order?

Suppose I gave you a bag of M&M’s, but I didn’t let you see the original packaging so you can’t determine which plant made the M& M’s.  Your job is to count the number of candies of each color in your bag and figure out which plant made your bag.  What test should you do to determine this?

how many three colors flag can you make with the colors white, red and blue.

You baked seven cupcakes of different flavor. In how many ways can you give two cupcakes each to three of your friends and keep one for yourself?

Tina must select and answer in any order five of ten essay questions on a test. In how many ways can she do so? Tina can select and answer the essay questions on her test in ways