sarahlavello
sarahlavello sarahlavello
  • 24-04-2018
  • Mathematics
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You have 12 CDs, but only have time to listen to two of them. How many combinations of CDs do you have to choose from?

Respuesta :

11beehshahbaz 11beehshahbaz
  • 24-04-2018
Total number of CDs = 12
Number of CDs that can be selected at once = 2

Selecting 2 CDs from 12 means combination of 12 objects taken 2 at a time. This can be calculated by 12C2.

[tex]12C2 = \frac{12!}{2!*(12-2)!} \\ \\ 12C2= \frac{12!}{2!*10!} \\ \\ 12C2= \frac{12*11}{2} \\ \\ 12C2=66[/tex]

This means, we have 66 possible combinations to choose from 
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