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Warm Ups for the Amida-kuji Problem

1. What prizes will the other players get with this "lottery network?"

2. If you want to use amida-kuji to decide the order of players in a game, you would put the numbers 1 through 6 (or however many players you have) at the bottom of the lines. Suppose you would like the players to go in the order , how could you place horizontal lines to produce this order?

3. How could you arrange to put the players in the order ?

4. How many times is each horizontal line used in any amida-kuji? Can you explain your answer?

We do not include results for this warm up problem on the Making Mathematics web site.