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The hospitals/residents problem with couples allows the set of residents to include couples who must be assigned together, either to the same hospital or to a specific pair of hospitals chosen by the couple (e.g., a married couple want to ensure that they will stay together and not be stuck in programs that are far away from each other).
Lottery mathematics is used to calculate probabilities of winning or losing a lottery game. It is based primarily on combinatorics, particularly the twelvefold way and combinations without replacement. It can also be used to analyze coincidences that happen in lottery drawings, such as repeated numbers appearing across different draws. [1
A matchstick puzzle ("Move 1 matchstick to make the equation 6+4=4 valid") and its solution below. Matchstick puzzles are rearrangement puzzles in which a number of matchsticks are arranged into shapes or numbers, and the problem to solve is usually formulated as moving a fixed number of matchsticks to achieve some specific other arrangement.
The MacMahon Squares game is an example of an edge-matching puzzle. The family of such problems is NP-complete . The first part of New Mathematical Diversions describes these games in general, starting with linear forms ( dominoes ), then progressing in detail with similar games using tiles shaped as equilateral triangles, squares, right ...
Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle. Conway's Game of Life and fractals, as two examples, may also be considered mathematical puzzles even though the solver interacts with them only at the beginning by providing a set of initial conditions. After these conditions are set ...
If q holds a proposal from p, then we remove from q ' s list all participants x after p, and symmetrically, for each removed participant x, we remove q from x ' s list, so that q is first in p ' s list; and p, last in q ' s, since q and any x cannot be partners in any stable matching. The resulting reduced set of preference lists together is ...
Match 5: Match all five numbers to win $1 million. The odds of winning are one in 12,607,306. ... Mega Millions is a lottery draw game that occurs twice a week on Tuesdays and Fridays. Players ...
Free will revisited, with a mind-bending prediction paradox by William Newcomb: 1973 Aug: An astounding self-test of clairvoyance by Dr. Matrix 1973 Sep: Problems on the surface of a sphere offer an entertaining introduction to point sets 1973 Oct "Look-see" diagrams that offer visual proof of complex algebraic formulas: 1973 Nov