问题描述:
【急】三个组合恒等式求证明
C(r,r)+C(r,r+1)+C(r,r+2)+,+C(r,n)=C(r+1,n+1)
C(r,m)*C(0,n)+C(r-1.m)*C(1,n)+.+C(0.m)*C(r,n)=C(r,m+n)
[C(0,n)]^2+[C(1,n)]^2+.=C(n,2n)
C(r,r)+C(r,r+1)+C(r,r+2)+,+C(r,n)=C(r+1,n+1)
C(r,m)*C(0,n)+C(r-1.m)*C(1,n)+.+C(0.m)*C(r,n)=C(r,m+n)
[C(0,n)]^2+[C(1,n)]^2+.=C(n,2n)
问题解答:
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