The number of ways in which the song arrangements are possible for Sara and Ben's playlist, assuming that no song is repeated is 3,628,800.
What is a factorial?
The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.
Given that Sara and Ben, Each choose 5 songs for the playlist. Therefore, the total number of songs is 10. Also, songs are needed to be arranged so that none of them repeats. Therefore, the number of ways these 10 songs can be arranged is,
The number of ways = 10!
= 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1
= 3,628,800
Therefore, the number of ways in which the song arrangements are possible for Sara and Ben's playlist, assuming that no song is repeated is 3,628,800.
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