A particular Ipod playlist contains 50 songs, 15 of which are by the Beatles. SU

Question

A particular Ipod playlist contains 50 songs, 15 of which are by the Beatles. SUppose the shuffle feature is used to play the songs in random ofer with no repeating.

a.) How many different ways of the playing order for the first three songs?

b.) How many different ways of the playing order for the first two songs are NOT the Beatles?

c.) How many different ways of the playing order for the first two songs are NOT the Beatles and the 3rd song is the Beatles?

d.) What is the probability that the first song heard is the 3rd song played?

Explanation / Answer

a)number of  different ways of the playing order for the first three songs =50P3 =50!/(47!)=117600

b)as there are 35 songs which are not of beatles

different ways of the playing order for the first two songs are NOT the Beatles =35P2 =35!/(33!)=1190

c)Number of ways =first two songs are not beatles*choosing one of 15 songs of beatles =1190*15=17850

d)therefore probability that the first song heard is the 3rd song played =17850/117600 =0.1518

please revert for any clarifcation required.,

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