组合c(10,1)＋c(10,2)＋c(10,3)＋…c(10,10)等于多少
组合c(10,1)＋c(10,2)＋c(10,3)＋…c(10,10)等于多少
日期：2022-03-28 19:42:23 人气：1
记原式=S，两边同乘以2得
2S=2C10(1)+2²C10(2)+2³C10(3)+……+2^10C10(10)
两边同时加1得2S+1=1+2C10(1)+2²C10(2)+2³C10(3)+……+2^10C10(10)
即2S+1=C10(0)+2C10(1)+2²C10(2)+2³C10(3)+……+2^10C10(10)<
2S=2C10(1)+2²C10(2)+2³C10(3)+……+2^10C10(10)
两边同时加1得2S+1=1+2C10(1)+2²C10(2)+2³C10(3)+……+2^10C10(10)
即2S+1=C10(0)+2C10(1)+2²C10(2)+2³C10(3)+……+2^10C10(10)<