here are a few questions on binomial that are troubling me -
1. what is the remainder when -
(a) 4^96 is divided by 6 ?
(b) 2^2006 is divided by 17 ?
(c) 4(4!) + 5(5!) + ......20(20!) is divided by 64 ?
I really get confused while solving such type of questions !!
Pls suggest some shortcut ways to solve !!!