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  2. Balance puzzle - Wikipedia

    en.wikipedia.org/wiki/Balance_puzzle

    For example, in detecting a dissimilar coin in three weighings (⁠ = ⁠), the maximum number of coins that can be analyzed is ⁠ = ⁠.Note that with ⁠ ⁠ weighings and ⁠ ⁠ coins, it is not always possible to determine the nature of the last coin (whether it is heavier or lighter than the rest), but only that the other coins are all the same, implying that the last coin is the ...

  3. Coin problem - Wikipedia

    en.wikipedia.org/wiki/Coin_problem

    Frobenius coin problem with 2-pence and 5-pence coins visualised as graphs: Sloping lines denote graphs of 2x+5y=n where n is the total in pence, and x and y are the non-negative number of 2p and 5p coins, respectively. A point on a line gives a combination of 2p and 5p for its given total (green).

  4. Coin flipping - Wikipedia

    en.wikipedia.org/wiki/Coin_flipping

    Tossing a coin. Coin flipping, coin tossing, or heads or tails is the practice of throwing a coin in the air and checking which side is showing when it lands, in order to randomly choose between two alternatives. It is a form of sortition which inherently has two possible outcomes. The party who calls the side that is facing up when the coin ...

  5. Coins in a fountain - Wikipedia

    en.wikipedia.org/wiki/Coins_in_a_fountain

    Coins in a fountain is a problem in combinatorial mathematics that involves a generating function.In this problem, a fountain is an arrangement of non-overlapping unit circles into horizontal rows in the plane so that consecutive circles in the bottom row are tangent to each other, and such that each circle in a higher row is tangent to two coins from the next row below it.

  6. Penny graph - Wikipedia

    en.wikipedia.org/wiki/Penny_graph

    A triangle-free penny graph with the property that all the pennies on the convex hull touch at least three other pennies. Analogously, the degeneracy of every triangle-free penny graph is at most two. Every such graph contains a vertex with at most two neighbors, even though it is not always possible to find this vertex on the convex hull.

  7. Mortgage and refinance rates for Nov. 14, 2024: Average rates ...

    www.aol.com/finance/mortgage-and-refinance-rates...

    Average mortgage rates are inching lower as of Thursday, November 14, 2024, a day after key inflation data showed a rise in consumer prices to 2.6% in October — in line with forecasts but a sign ...

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