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A lottery is organized as follows. Tickets that bear numbers 1, 2, 3, ..., 2013 are placed in the box (there're exactly 2013 tickets). The lottery director repeatedly removes the handful of tickets, adds the numbers which are shown and computes the remainder that is left when this sum is divided by the 17. A new ticket showing this remainder is placed back in the box before director removes another handful of tickets. On one occasion, the director continued this process till exactly two tickets were left in the box (after last remainder had been returned). If one of such tickets showed the number 2000 what did the other show?

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Statistics and Probability, Statistics

Category:- Statistics and Probability
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