Question

Calcule m e n no sistema: {Cm,n = 78}
{Am,n = 156}

Answer 1

Cm,n= mCn= m! / [n! ·(m-n)!] = [m!/(m-n)!] / n! = Am,n /n! 

--> 78=156/n! --> n!=156/78=2 --> n=2 

Am,2= m· (m-1) =156 --> m²-m-156=0 -->(m-13)·(m+12)=0 
--> Como m>0 , m=13 e n=2