Question

A pianist plans to play 4 pieces at a recital from her repertoire of 25 pieces, and is carefully consideringwhich song to play first, second, etc. to create a good flow. How many different recital programs arepossible?

Answer 1

Given 25 pieces of repertoire, if a pianist plans to play 4 pieces at a recital and is considering playing which song to play first, second, etc, the possible ways is,

`^(25)P_4=(25!)/((25-4)!)=(25!)/(21!)=303600\text{ possible recital programs}`

Hence, the different recital programs possible is 303600