1. Given the following functions
(1) f(n a b c ) = ac if n=1
(2) f(n a b c) = f( n-1 a c b) + f( 1 a b c) + f( n-1 b a c ) if n > 1

Then what is the value f( 4 a b c ) = ?

• f( 4 a b c ) = 5*(ab+bc+ca)
  
  f(2 a b c) = f( 1 a c b) + f( 1 a b c) + f( 1 b a c ) =ab+bc+ca
  f(3 a b c) = f( 2 a c b) + f( 1 a b c) + f( 2 b a c ) = 2(ab+bc+ca)+ac
  f(4 a b c) = f( 3 a c b) + f( 1 a b c) + f( 3 b a c ) = 5*(ab+bc+ca)
  
• 11 years agoHelpfull: Yes(34) No(10)
• 4(ab+bc+ca)+3ac
  bcz:
  f(3 a b c)=2(ab+bc+ca)+ac (fro leena)
  f(4 a b c)=f(3 a c b)+f(1 a b c)+f(3 a b c)
  2(ab+bc+ca)+ac+ac+2(ab+bc+ca)+ac
  =4(ab+bc+ca)+3ac
• 10 years agoHelpfull: Yes(13) No(1)
• ans=15ac......
• 11 years agoHelpfull: Yes(1) No(16)
• f(4 a b c)=f(3 a c b)+f(1 a b c)+f(3 b a c)
  f(4 a b c)=f(3 a c b)+ac+f(3 b a c)
  f(4 a b c)=3acb+ac+3bac
  f(4 a b c)=ac*(6b+1)
• 6 years agoHelpfull: Yes(0) No(0)