计算(1-1/50)(1/49-1)(1-1/48)(1/47-1)...(1-1/4)(1/3-1)怎么计算

问题描述:

计算(1-1/50)(1/49-1)(1-1/48)(1/47-1)...(1-1/4)(1/3-1)怎么计算

(1-1/50)(1/49-1)(1-1/48)(1/47-1)...(1-1/4)(1/3-1)
=(-49/50)×(-48/49)×(-47/48)×(-46/47)×……×(-3/4)×(-2/3)
=2/50
=1/25

(1-1/50)(1/49-1)(1-1/48)(1/47-1)...(1-1/4)(1/3-)
=49/50*48/49*47/48*46/47*.4/5*3/4*2/3
=2/50
=1/25