In how many ways can a fraternity of 20 guys select a president, vice president and treasury, assuming that the same person cannot hold more than one office? O 12,620 O 6,840

Respuesta :

We can resolve the question using the next formula

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

where n = 20 , k=3

then we substitute the values

[tex]P(20,3)=\frac{20!}{(20-3)!}=20\times19\times18=6840[/tex]