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  2. Langford pairing - Wikipedia

    en.wikipedia.org/wiki/Langford_pairing

    A Langford pairing for n = 4.. In combinatorial mathematics, a Langford pairing, also called a Langford sequence, is a permutation of the sequence of 2n numbers 1, 1, 2, 2, ..., n, n in which the two 1s are one unit apart, the two 2s are two units apart, and more generally the two copies of each number k are k units apart.

  3. Combination - Wikipedia

    en.wikipedia.org/wiki/Combination

    In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter (unlike permutations).For example, given three fruits, say an apple, an orange and a pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange.

  4. Lottery mathematics - Wikipedia

    en.wikipedia.org/wiki/Lottery_mathematics

    So there is now a 1 in 48 chance of predicting this number. Thus for each of the 49 ways of choosing the first number there are 48 different ways of choosing the second. This means that the probability of correctly predicting 2 numbers drawn from 49 in the correct order is calculated as 1 in 49 × 48. On drawing the third number there are only ...

  5. Bridge scoring - Wikipedia

    en.wikipedia.org/wiki/Bridge_scoring

    Note 1: Using American Contract Bridge League (ACBL) methods, scoring is one point for each pair beaten, and one-half point for each pair tied. Note 2: The rule of two matchpoints for each pair beaten is easy to apply in practice: if the board is played n times, the top result achieves 2n−2 matchpoints, the next 2n−4, down to zero. When ...

  6. 48 (number) - Wikipedia

    en.wikipedia.org/wiki/48_(number)

    The First 48, an American crime program, 2004-present. 48 Hours is a television news program on CBS. 48 Hrs., a 1982 film starring Nick Nolte and Eddie Murphy, followed by Another 48 Hrs. Arizona is the 48th state in the United States. The 48 United States (excluding Alaska and Hawaii) are also referred to as the "Lower 48" or the "48 ...

  7. Pairing function - Wikipedia

    en.wikipedia.org/wiki/Pairing_function

    More generally, a pairing function on a set is a function that maps each pair of elements from into an element of , such that any two pairs of elements of are associated with different elements of , [5] [a] or a bijection from to .

  8. College football games today: How to watch, stream Saturday's ...

    www.aol.com/college-football-games-today-watch...

    With CFP positioning on the line in many of these games, here is how to watch all of the action today that will shape the playoff.

  9. Method of complements - Wikipedia

    en.wikipedia.org/wiki/Method_of_complements

    The pairs of mutually additive inverse numbers are called complements. Thus subtraction of any number is implemented by adding its complement. Changing the sign of any number is encoded by generating its complement, which can be done by a very simple and efficient algorithm.