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- Combination abstract "In mathematics, a combination is a way of selecting members from a grouping, such that (unlike permutations) the order of selection does not matter. In smaller cases it is possible to count the number of combinations. 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.More formally, a k-combination of a set S is a subset of k distinct elements of S. If the set has n elements, the number of k-combinations is equal to the binomial coefficientwhich can be written using factorials as whenever , and which is zero when .The set of all k-combinations of a set S is sometimes denoted by .Combinations refer to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection, k-multiset, or k-combination with repetition are often used. If, in the above example, it was possible to have two of any one kind of fruit there would be 3 more 2-selections: one with two apples, one with two oranges, and one with two pears.With large sets, it becomes necessary to use more sophisticated mathematics to find the number of combinations. For example, a poker hand can be described as a 5-combination (k = 5) of cards from a 52 card deck (n = 52). The 5 cards of the hand are all distinct, and the order of cards in the hand does not matter. There are 2,598,960 such combinations, and the chance of drawing any one hand at random is 1 / 2,598,960.".
- Combination thumbnail Combinations_without_repetition;_5_choose_3.svg?width=300.
- Combination wikiPageExternalLink tc?module=Static&d1=tutorials&d2=combinatorics.
- Combination wikiPageExternalLink generating-combinations-1.
- Combination wikiPageExternalLink Combinations%20with%20Repetitions.pdf.
- Combination wikiPageExternalLink high_perms_combs.html.
- Combination wikiPageExternalLink unknownform.htm.
- Combination wikiPageID "5308".
- Combination wikiPageRevisionID "605774434".
- Combination hasPhotoCollection Combination.
- Combination subject Category:Combinatorics.
- Combination comment "In mathematics, a combination is a way of selecting members from a grouping, such that (unlike permutations) the order of selection does not matter. In smaller cases it is possible to count the number of combinations.".
- Combination label "Combinaison (mathématiques)".
- Combination label "Combinatie (wiskunde)".
- Combination label "Combination".
- Combination label "Combinazione".
- Combination label "Combinação (matemática)".
- Combination label "Kombinacja bez powtórzeń".
- Combination label "Kombination (Kombinatorik)".
- Combination label "Сочетание".
- Combination label "توفيق (رياضيات)".
- Combination label "組合".
- Combination label "組合せ (数学)".
- Combination sameAs Kombinace.
- Combination sameAs Kombination_(Kombinatorik).
- Combination sameAs Konbinazio_(konbinatoria).
- Combination sameAs Combinaison_(mathématiques).
- Combination sameAs Kombinasi.
- Combination sameAs Combinazione.
- Combination sameAs 組合せ_(数学).
- Combination sameAs 조합.
- Combination sameAs Combinatie_(wiskunde).
- Combination sameAs Kombinacja_bez_powtórzeń.
- Combination sameAs Combinação_(matemática).
- Combination sameAs m.01mdk.
- Combination sameAs Q202805.
- Combination sameAs Q202805.
- Combination wasDerivedFrom Combination?oldid=605774434.
- Combination depiction Combinations_without_repetition;_5_choose_3.svg.
- Combination isPrimaryTopicOf Combination.
