JoyelleR370756 JoyelleR370756
  • 03-11-2022
  • Mathematics
contestada

Use the 'Permutations' formula to evaluate the expression P(27,3)

Respuesta :

HayderF596384 HayderF596384
  • 03-11-2022

The permutation formula is given as:

[tex]P(n,k)=\frac{n!}{(n-k)!}[/tex]

In this case n=27 and k=3; plugging the values in the formula we have:

[tex]P(27,3)=\frac{27!}{(27-3)!}=\frac{27!}{24!}=\frac{27\cdot26\cdot25\cdot24!}{24!}=27\cdot26\cdot25=17550[/tex]

Therefore, we have that P(27,3)=17550

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