用组合数的性质:C(k+1)/n+Ck/n=C(k+1)/(n+1) (1) 原式=C4/4+C3/4+……=C4/5+C3/5+……=C4/6+C3/6+……=……=C4/8+C3/8=C4/9
(2)添个C3/96项
原式=C3/96+C2/96+C2/97+C2/98+C2/99-C3/96=C3/97+C2/97+……=……=C3/100-C3/96
用组合数的性质:C(k+1)/n+Ck/n=C(k+1)/(n+1) (1) 原式=C4/4+C3/4+……=C4/5+C3/5+……=C4/6+C3/6+……=……=C4/8+C3/8=C4/9
(2)添个C3/96项
原式=C3/96+C2/96+C2/97+C2/98+C2/99-C3/96=C3/97+C2/97+……=……=C3/100-C3/96