If a CD player is programmed to pl ay the CD tracks in random order, what i s the probability that it will play six songs from a CD i n order from your favourite to your least favourite?

Question

If a CD player is programmed to pl ay the CD tracks in random order, what i s the   probability that it will play six songs from a CD i n order from your favourite to your least   favourite?

anonymous · Answer

is it assumed that these 6 songs are all the songs on the cd?

anonymous · Answer

if it is than there are a distinct 720 possible combinations in which the tracks do not repeat.  this is a permutation of 6 choose 6 which mathematically means 6*5*4*3*2*1

Only one of these combinations will be in the correct order so the answer would be 1/720