Question

Calcule o valor de:
P5 + A10,2 + C10,2
-------------------------------- =
           3C5,1

Answer 1

ANÁLISE COMBINATÓRIA

$\frac{P _{5} +A _{10,2}+C _{10,2} }{3C _{5,1} }$

$\frac{(5.4.3.2.1)+ \frac{10!}{(10-2)}+ \frac{10!}{2!(10-2)!} }{3( \frac{5!}{1!(5-1)!}) }$

$\frac{120+ \frac{10!}{8!}+ \frac{10!}{2!8!} }{ 3(\frac{5!}{1!4!}) }$

$\frac{120+90+45}{3*5}$

$\frac{255}{15}=17$