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To play the game, take cards alternately. You win if you get all the occurrences of the same letter. (e.g. AN, ON and LINE contain all occurrences of the letter N)



This is a game for two players.
To play the game, take words alternately.
You win if you get all the occurrences of the same letter (e.g. AN, ON and LINE contain all occurrences of the letter N).
Can you devise a strategy so that you never lose?
Can you explain your strategy?

 

EAT AN LAF IT
LINE IF LOT ON
FOE

Look at all of these games. What do you notice about the strategies they employ?

We suggest tackling them in the order given.


Printable NRICH Roadshow resource. 

Click here for a poster of this problem.