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1) Subdivide the coins in to 2 groups of 4 coins and a third group with the remaining 5 coins. 2) Test 1, Test the 2 groups of 4 coins against each other: a. If the coins balance, the odd coin is in the population of 5 and proceed to test 2a. b. The odd coin is among the population of 8 coins, proceed in the same way as in the 12 coins problem.
Again, if we restrict ourselves to reversible actions only, from the desired point (5,0), there are only two reversible actions: transferring 5 liter of water from the 12-liter jug to the 8-liter jug (0,5), or filling the empty 8 liter jug to full from the tap (5,8). Therefore, there are only two solutions to the problem:
An illegal shell game performed with bottle caps on Fulton Street in New York City. The shell game (also known as thimblerig, three shells and a pea, the old army game) is a public gambling game that challenges players to follow the movement of a marker hidden under one of several covers (shells).
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 ...
A metric fifth of Dewar's Scotch whisky. A fifth is a unit of volume formerly used for wine and distilled beverages in the United States, equal to one fifth of a US liquid gallon, or 25 + 3 ⁄ 5 U.S. fluid ounces (757 milliliters); it has been superseded by the metric bottle size of 750 mL, [1] sometimes called a metric fifth, which is the standard capacity of wine bottles worldwide and is ...
In the wine/water mixing problem, one starts with two barrels, one holding wine and the other an equal volume of water. A cup of wine is taken from the wine barrel and added to the water. A cup of the wine/water mixture is then returned to the wine barrel, so that the volumes in the barrels are again equal.
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).
Four glasses or tumblers are placed on the corners of a square Lazy Susan.Some of the glasses are upright (up) and some upside-down (down). A blindfolded person is seated next to the Lazy Susan and is required to re-arrange the glasses so that they are all up or all down, either arrangement being acceptable, which will be signalled by the ringing of a bell.