aflores225 aflores225
  • 01-06-2020
  • Mathematics
contestada

Count the possible combinations of r letters chosen from the given list P.Q,R,S,T,U; r = 2

Respuesta :

jajumonac jajumonac
  • 07-06-2020

Answer:

There are 30 possible combinations of picking two letters.

Step-by-step explanation:

The combinations are defined as

[tex]C^{r}_{n}=\frac{n!}{(n-r)!}[/tex]

Where [tex]n[/tex] is the total number of elements and [tex]r[/tex] is the number of letter we are gonna picke, which is two. Using this information, we have

[tex]C^{2}_{6}=\frac{6!}{(6-2)!}=\frac{6!}{4!}=\frac{6 \times 5 \times 4!}{4!}=30[/tex]

Therefore, there are 30 possible combinations of picking two letters.

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