In a 2-3-4 coin game where coins are arranged with 2 coins in the first row, 3 i

Jan 16th, 2015
DotaCN
Category:
Mathematics
Price: $5 USD

Question description

In a 2-3-4 coin game where coins are arranged with 2 coins in the first row, 3 in the second row and 4 in the last row, 2 players are allowed to pick as many coins as they want at each turn and who ever gets the last coin wins. Determine whether the player that goes first can always win. If that is the case, describe the winning strategy and give convincing argument that this strategy always work despite what the opponent does. If there is no overall winning strategy for the player that goes first, explain why. Statements can be phrased as "If my opponent does......., then i will do......". This is a logic game. 

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