Prove that 7^n - 4^n - 3^n is always divisible by 12?

Not true. NC7 -n/7 = n! / (7!

(n-7)! ) - n/7 n! / (7 6!

(n-7)! ) - n / 7 (1/7) ( n! /(6!

(n-7)! ) - n ) ( n! /(6!

(n-7)! ) - n ) / 7 n = 8 8C7 - 8/7 8 - 8/7 48 / 7 divided by 7 = 48/49.

I cant really gove you an answer,but what I can give you is a way to a solution, that is you have to find the anglde that you relate to or peaks your interest. A good paper is one that people get drawn into because it reaches them ln some way.As for me WW11 to me, I think of the holocaust and the effect it had on the survivors, their families and those who stood by and did nothing until it was too late.