I have to prove $n
I did it as follows. I proved the base case.
Then let it be true for $K>2$:
$$ K
I have to prove,
$$ K+1<(K+1)! $$
$$ K
Adding $1$ on both sides
$$ K+1
Hence
$$ K+1<(K+1)! $$
Is the last step I did ($K!+1<(K+1)!$) Right?
Please help me out. Thanks!