Suppose that Mr. X will be giving away a golden homework pass to one student in each class. The recipient of this pass is excused from homework all year. He has developed a unique system for determining who will get the pass.
1. First, he wants all students, x, who are present today to stand in a circle
2. Second, he will decide on a random number and call it the "Eliminumber"
3. Third, he will randomly select a starting position and count up to his "Eliminumber" The student standing in the "Eliminumber" is eliminated. The count then starts over at the next student in the circle, until the "Eliminumber (which does not change) is reached again, eliminating the next student. This process will repeat until only one student remains
TASK: Determine the position in the initial circle (after Mr. X tells you a new "Eliminumber") that will win the golden homework pass if the activity was played again. If you complete this your task is you find your position in any sized circle for any given "Eliminumber".
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