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a computer user has downloaded 18 songs using an online file-sharing program and wants to create a cd-r with 10 songs to use in his portable cd player. if the order that the songs are placed on the cd-r is not important to him, how many different cd-rs could he make from the 18 songs available to him?

Respuesta :

AnjaliP102

If a CD requires 10 songs and the user has 18,

He can create 158789030400 such CDs by solving through permutations.

What exactly are permutations?

It is essentially an arrangement of objects in a specific order. It is expressed as n and equals n!/(n-r)!.

We've been told that the user has 18 songs and that 1 CD is made up of 10 songs, so the number of CDs that can be made is basically the number of ways these 10 songs can be arranged in CDs. As a result, the total number of CDs will be 18 = 18! /(18-10)!

= 18!/8!

= 18*17*16*15*14*13*12*11*10*9*8!/8!

= 18*17*16*15*14*13*12*11*10*9

= 158789030400 CD's

As a result, the user can create 158789030400 CDs from 18 songs.

To learn more about permutations refer to :

https://brainly.com/question/1216161

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