(1-1/2006)*(1-1/2005)*(1-1/2004).(1-1/1001)*(1-1/1000)
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![(1-1/2006)*(1-1/2005)*(1-1/2004).(1-1/1001)*(1-1/1000)](/uploads/image/z/1964092-4-2.jpg?t=%EF%BC%881-1%2F2006%EF%BC%89%2A%EF%BC%881-1%2F2005%EF%BC%89%2A%EF%BC%881-1%2F2004%29.%EF%BC%881-1%2F1001%EF%BC%89%2A%EF%BC%881-1%2F1000%EF%BC%89)
(1-1/2006)*(1-1/2005)*(1-1/2004).(1-1/1001)*(1-1/1000)
(1-1/2006)*(1-1/2005)*(1-1/2004).(1-1/1001)*(1-1/1000)
(1-1/2006)*(1-1/2005)*(1-1/2004).(1-1/1001)*(1-1/1000)
(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