# probability

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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?

• probability -

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
n!
on mine, I press 6, then 2ndF n! )

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