(1-1/2006)*(1-1/2005)*(1-1/2004).(1-1/1001)*(1-1/1000)
问题描述:
(1-1/2006)*(1-1/2005)*(1-1/2004).(1-1/1001)*(1-1/1000)
答
(1-1/2006)*(1-1/2005)*(1-1/2004).(1-1/1001)*(1-1/1000)
=(2005/2006)*(2004/2005)*(2003/2004)...*(1000/1001)*(999/1000)
=999/2006