posted by Anonymous .
A cooking recipe lists 6 ingredients which must be mixed in the correct order. Unfortunately the bottom of the page on which the correct order was given has been burnt off. Suppose that you make a guess at the correct order. What is the probabilty that you will be right?
Please help, I have no clue how to do this! Thanks!
Since the order matters, there are 6 different ingredients that could be used first.
Then there would be 5 remaining ingredients that could be used second.
Then there would be 4 remaining .... etc.
Number of ways = 6x5x4x3x2x1 = 720
(A string of consecutive multiplications such as 6x5x4x3x2x1 is called
6 factorial or 6!
Most calculators have a key called
on mine, I press 6, then 2ndF n! )