In Try This 2 you may have found that the problem can be represented by

When generalized for n objects taken r at a time, the total number of permutations is

In Try This 3 you will use the tile data you collected in Discover to work with the permutations formula.

Try This 3

1. Retrieve your chart from Try This 1 and add one extra column, , to the chart as follows.
   
   

   Number of Tiles in Box	Number of Draws from Box	Total Number of Possible Permutations	List Possible Permutations
   2	2	2	AE, EA
   2	1	2	A, E
   3	3
   3	2
   3	1
   4	4		Don’t list
   4	3		Don’t list
   4	2		Don’t list
   4	1
   5	5		Don’t list
   5	4		Don’t list
   5	3		Don’t list
   5	2		Don’t list
   5	1

2. Determine which column represents n and which column represents r.

3. Complete the chart by calculating for the remaining rows. Show your work.
   
   

   Special Note: 0! is defined as 1.

   
   

4. In what instances could n! alone be used to calculate the number of permutations, and when must be used? Provide an example from the chart.