At the end of a trial an eccentric judge sentenced the accused individual to some number of years in prison. However, the judge pointed out that this individual should 'select' the number of years to be served by himself! The judge placed 12 boxes on the circumference of a circle. Each box was numbered, the clockwise sequence of numbers on the boxes was, 7, 10, 1, 3, 6, 11, 8, 4, 5, 9, 0 and 2. The sentenced man was told that there was a number of coins in each box; again, the clockwise sequence o numbers of coins was 0, 1, 2, 3, 4, 5, 6,7, 8, 9, 10, 12. The sentenced man should select a box and the number of coins in the box would determine the length of the sentence. However, before the man pointed to any box, he asked the judge whether he could get any additional information, namely, how many boxes had numbers which exactly matched the number of coins they contained? The judge replied that such information could not be disclosed, as it would allow him to determine teh empty box. The man thought a little and pointed to the empty box anyway! How did he know? Which box did he point to?

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## BMAD 65

At the end of a trial an eccentric judge sentenced the accused individual to some number of years in prison. However, the judge pointed out that this individual should 'select' the number of years to be served by himself! The judge placed 12 boxes on the circumference of a circle. Each box was numbered, the clockwise sequence of numbers on the boxes was, 7, 10, 1, 3, 6, 11, 8, 4, 5, 9, 0 and 2. The sentenced man was told that there was a number of coins in each box; again, the clockwise sequence o numbers of coins was 0, 1, 2, 3, 4, 5, 6,7, 8, 9, 10, 12. The sentenced man should select a box and the number of coins in the box would determine the length of the sentence. However, before the man pointed to any box, he asked the judge whether he could get any additional information, namely, how many boxes had numbers which exactly matched the number of coins they contained? The judge replied that such information could not be disclosed, as it would allow him to determine teh empty box. The man thought a little and pointed to the empty box anyway! How did he know? Which box did he point to?

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