Dec 4, 2006 #1 B bomber Newbie level 3 Joined Mar 24, 2006 Messages 3 Helped 0 Reputation 0 Reaction score 0 Trophy points 1,281 Activity points 1,306 Could you tell me how can I prove the equality N ∑ C(N,j)×C(M,n-j)=C(N+M,n) j=0 In probability books it is said that (in hypergeometric distribution) this equality is well known but I couldn't prove this equality. One addition information: a hint has been given : use the identity of: (1+t)^(N+M)=((1+t)^N)*((1+t)^M) thanks for replies....
Could you tell me how can I prove the equality N ∑ C(N,j)×C(M,n-j)=C(N+M,n) j=0 In probability books it is said that (in hypergeometric distribution) this equality is well known but I couldn't prove this equality. One addition information: a hint has been given : use the identity of: (1+t)^(N+M)=((1+t)^N)*((1+t)^M) thanks for replies....