Question

you download music onto a music player. if you play 3 of the songs using the random shuffle option how many ways can the sequence of the song be played

Answer 1

Let us assume the three songs be called A, B, and C

Permutations of size r that may be selected from among n choices without replacement when order matters. It turns out that we can express this result more simply using factorials.

The number of ways the three songs can be played is calculated using permutation. We are interested in arranging three songs from three songs. Thus n = 3 and r = 3

The sequences of the songs are as followed

ABC

ACB

CAB

CBA

BAC

BCA

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