Question

How do you show that nC0 and nCn always = 1

Answer 1

remember
nCk = n!/(n-k!)k!

just do two cases:
1. let k = n
2. let k = 0

Dont forget that 0! = 1

(guess that's a more complete answer)

Answer 2

actually ill plug it in too

nC0 = n!/(n!*0!)=n!/n!=1
nCn = n!/(0!*n!)=n!/n!=1