1/52+49/52×51+49×48/52×51×50+.+49×...×1/52×...×3=?
2个回答

1/52+49/52×51+49×48/52×51×50+.+49×...×1/52×...×3=

=(51*50)/(52*51*50)+(50*49)/(52*51*50)+(49*48)/(52*51*50)+.+(2*1)/(52*51*50)

=(51*50+50*49+49*48.+2*1)/52*51*50

=(1*2+2*3+3*4+.50*51)/52*51*50

其中1*2+2*3+3*4+.50*51=44200(该题计算也是采用奥数方法)

52*51*50=132600

最终结果为44200/132600=1/3