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5 September, 05:39

Suppose in a game with a pile containing a large number of chips, you can remove any number from 1 to 6 chips at each turn. What is the winning strategy?

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  1. 5 September, 09:17
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    Answer: the winning strategy is to take 1 chip, leaving our opponent with the losing position of 5 chips.

    Step-by-step explanation:

    suppose we start with 6 chips.

    * If we take 1 chip, we leave our opponent with 5 - which we showed

    was a losing position for him.

    * If we take 2 chip (leaving 4), our opponent will take 3 - we lose.

    * If we take 3 chip (leaving 3), our opponent will take 2 - we lose.

    So our winning strategy is to take 1 chip, leaving our opponent with

    the losing position of 5 chips.
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