Armyhelps
Armyhelps Armyhelps
  • 21-07-2020
  • Mathematics
contestada

Pls help fast:
How many ways can 3 songs be chosen from 12 to create a 3 song ordered play list?​

Respuesta :

erinna erinna
  • 27-07-2020

Answer:

1320

Step-by-step explanation:

Total number of songs = 12

Number of songs required to arrange in a play list = 3

It means we have to arrange 3 songs from 12 in the play lines. So, required number of ways is

[tex]Ways=^{12}P_{3}[/tex]

[tex]Ways=\dfrac{12!}{(12-3)!}[/tex]         [tex][\because ^nP_r=\dfrac{n!}{(n-r)!}][/tex]

[tex]Ways=\dfrac{12\times 11\times 10\times 9!}{9!}[/tex]

[tex]Ways=1320[/tex]

Therefore, the required number of ways is 1320.

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