File:Combinations_without_repetition;_5_choose_3.svg · Wikimedia Commons · See Wikimedia Commons
Also known as choose
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. More formally, a k-combination of a set S is a subset of k distinct elements of S. So, two combinations are identical if and only if each combination has the same members. (The arrangement of the members in each set does not mat
A combination is a way of selecting items from a group where the order doesn't matter—for instance, picking an apple and an orange is the same combination as picking an orange and an apple. This concept matters in mathematics because it helps us count and analyze different possible selections, which is useful in probability, statistics, and many real-world problems involving choices and groupings.
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Wikidata facts
- Instance of
- binary function
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- Commons category
- Combinations (combinatorics)
- Stack Exchange tag
- stackoverflow.com/tags/combinations
- different from
- connection
- studied by
- combinatorics
- maintained by WikiProject
- WikiProject Mathematics
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Article · 日本語
数学において、組合せ(くみあわせ、英: combination, choose)とは、相異なる(あるいは区別可能な)いくつかの要素の集まりからいくつかの要素を(重複無く)選び出す方法である。あるいは選び出した要素をその“並べる順番の違いを区別せずに”並べたもののことである。組合せは組合せ論と呼ばれる数学の分野で研究される。身近な例でいえば、デッキ(山札)から決まった数のカード(手札)を引くことや、ロトくじなどがその例である。
Abstract from DBpedia / Wikipedia · CC BY-SA
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