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  2. All-pairs testing - Wikipedia

    en.wikipedia.org/wiki/All-pairs_testing

    We note that the number of all possible test cases is a . Imagining that the code deals with the conditions taking only two parameters at a time, might reduce the number of needed test cases. Imagining that the code deals with the conditions taking only two parameters at a time, might reduce the number of needed test cases.

  3. Combinatorial number system - Wikipedia

    en.wikipedia.org/wiki/Combinatorial_number_system

    The number associated in the combinatorial number system of degree k to a k-combination C is the number of k-combinations strictly less than C in the given ordering. This number can be computed from C = {c k, ..., c 2, c 1} with c k > ... > c 2 > c 1 as follows.

  4. 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.

  5. Potentially all pairwise rankings of all possible alternatives

    en.wikipedia.org/wiki/Potentially_all_pairwise...

    PAPRIKA is based on the fundamental principle that an overall ranking of all possible alternatives representable by a given value model – i.e. all possible combinations of the categories on the criteria – is defined when all pairwise rankings of the alternatives vis-à-vis each other are known (and provided the rankings are consistent).

  6. Combinatorics - Wikipedia

    en.wikipedia.org/wiki/Combinatorics

    Combinatorics is an area of mathematics primarily concerned with counting, both as a means and as an end to obtaining results, and certain properties of finite structures.It is closely related to many other areas of mathematics and has many applications ranging from logic to statistical physics and from evolutionary biology to computer science.

  7. Necklace (combinatorics) - Wikipedia

    en.wikipedia.org/wiki/Necklace_(combinatorics)

    For a given set of n beads, all distinct, the number of distinct necklaces made from these beads, counting rotated necklaces as the same, is ⁠ n! / n ⁠ = (n − 1)!. This is because the beads can be linearly ordered in n ! ways, and the n circular shifts of such an ordering all give the same necklace.

  8. Stars and bars (combinatorics) - Wikipedia

    en.wikipedia.org/wiki/Stars_and_bars_(combinatorics)

    The three-choose-two combination yields two results, depending on whether a bin is allowed to have zero items. In both results the number of bins is 3. If zero is not allowed, the number of cookies should be n = 6, as described in the previous figure. If zero is allowed, the number of cookies should only be n = 3.

  9. Heap's algorithm - Wikipedia

    en.wikipedia.org/wiki/Heap's_algorithm

    Simulate the increment of the while-loop counter c [i] += 1 // Simulate recursive call reaching the base case by bringing the pointer to the base case analog in the array i:= 1 else // Calling permutations(i+1, A) has ended as the while-loop terminated. Reset the state and simulate popping the stack by incrementing the pointer. c [i]:= 0 i += 1 ...