Carey has 30 CDs and wants to take pick out 5 to put into her CD player. How many different combinations of CDs can
she pick out?
C(30,5)
C(25,5)
301

Respuesta :

Carey can pick out C(30,5) or 142506 combinations

Step-by-step explanation:

Given

total CDs = n = 30

CDs to be selected = r = 5

the combinations are used to find ways anything can be chosen without order.

In the given case:

The combinations will be:

[tex]C(n,r)=\frac{n!}{r!(n-r)!}\\Putting\ values\\C(30,5)=\frac{30!}{5!(30-5)!}\\\\=\frac{30!}{5! * 25!}\\\\=142506\ combinations\\[/tex]

Carey can pick out C(30,5) or 142506 combinations

Keywords: Combinations

Learn more about combinations at:

  • brainly.com/question/3375830
  • brainly.com/question/3398261

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