Discrete 
		Math Problem of the Week


       
From our PoW archives:


A Game from West Africa

This game is played by the Asante people of Ghana, West Africa, on a game board like a graph with 9 vertices and 16 edges. Two players, each with four markers, take turns placing their pieces on the vertices or the intersections of the edges, trying to get three in a row. If the game is a draw, the players take turns sliding a piece to an empty intersection along the lines. The winner is the first person who makes three in a row.
  1. How many ways are there to make three in a row?
  2. Does either player have an advantage?
  3. Describe in detail the reason.
  4. Give an example of the moves and strategies in a winning game.
  5. Give an example of the moves and strategies in a winning game after a draw.


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