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5 Minutes, 3 Problems, 0 Solutions

5 Minutes, 3 Problems, 0 Solutions. David Bedford d.bedford@keele.ac.uk. Take n coins and separate them into two piles. Take n coins and separate them into two piles. Now multiply their sizes together. Do the same with the remaining piles

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5 Minutes, 3 Problems, 0 Solutions

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  1. 5 Minutes, 3 Problems,0Solutions David Bedford d.bedford@keele.ac.uk

  2. Take n coins and separate them into two piles

  3. Take n coins and separate them into two piles Now multiply their sizes together Do the same with the remaining piles and keep going until all the coins are separated. Add up all the products formed.

  4. Take n coins and separate them into two piles

  5. William Whiston, 1667-1752

  6. An identity for n+1 coins n-k coins k+1 coins

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