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#2 Piles of money
Set by Katie Steckles
You are given a heap of N tokens, which you may divide into any number of smaller heaps. You will then receive an amount of money equal to the product of the number of tokens in each heap. The rules of this game state that if you were to just leave all the tokens in one heap, you would win £N.
What is the largest sum of money you can win starting with six tokens?
What about starting with 10 tokens?
Is there a general best strategy for N tokens?
Solution next…
