Hey, first time poster here, this is the proof:
For positive integers j and k, 1<=j<=k, show that C(k+1,j) = C(k,j) +C(k,j-1)
I am at the point where I have numerator: [ k!(k-j-1)!(j-1)! + k!j!(k-j)! ]
over [ j!(j-1)!(k-j-1)!(k-j)! ]
Which i need to simplify.
Which is supposed to equal (k+1)! / (j!(k+1-j)!) I believe
I'm probably making this more confusing than it needs to be.
Thanks in advance.