Hello ,

I need help to prove that :

(2n)! / (n! * n!) + (2n-1)! / ( (n-1)! * n! ) + (2n-2)! / ( (n-2)! * n! ) + ... + n!/( 0! * n!) = (2n+1)! / ( n! * (n+1)! )

or C_{2n}^{n}+ C_{2n-1}^{n}+ ... + C_{n}^{n}=C_{2n+1}^{n+1}

I applied mathematical induction and it didn't work or i did something wrong.

I appreciate your help !