SOLUTION: Suppose a business owner has a choice of 5 locations in which to establish her business. She decides to rank them from best to least according to certain criteria. How many differ

5 different items can be ordered in 5! = 5*4*3*2*1 = 120 different ways.


Any of 5 items can be placed in 1st position.

Any of remaining 4 items can be placed in 2nd position.

Any of remaining 3 items can be placed in 3rd position.

Any of remaining 2 items can be placed in 4th position.

The last remaining item  can be placed in the last, 5th position.


Counting this way, you get the formula and the value.