combinationˌkɒm bəˈneɪ ʃən

### English Definitions:

#### combination (noun)

a collection of things that have been combined; an assemblage of separate parts or qualities

#### combination (noun)

a coordinated sequence of chess moves

#### combination (noun)

a sequence of numbers or letters that opens a combination lock

"he forgot the combination to the safe"

#### combination (noun)

a group of people (often temporary) having a common purpose

"they were a winning combination"

#### combination (noun)

an alliance of people or corporations or countries for a special purpose (formerly to achieve some antisocial end but now for general political or economic purposes)

#### combination (noun)

the act of arranging elements into specified groups without regard to order

#### combination, combining, compounding (noun)

the act of combining things to form a new whole

#### combination (Noun)

The act of combining, the state of being combined or the result of combining.

#### combination (Noun)

A sequence of numbers or letters used to open a combination lock.

#### combination (Noun)

One or more elements selected from a set without regard to the order of selection.

#### combination (Noun)

An association or alliance of people for some common purpose.

#### combination (Noun)

A combination shot; a billiard; a shot where the cue ball hits a ball that strikes another ball on the table.

#### Combination

In mathematics a combination is a way of selecting several things out of a larger group, where order does not matter. In smaller cases it is possible to count the number of combinations. For example given three fruit, say an apple, orange and 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 coefficient which 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 can refer to the combination of n things taken k at a time without or with repetitions. In the above example repetitions were not allowed. If however it was possible to have two of any one kind of fruit there would be 3 more combinations: 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 of cards from a 52 card deck. 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.

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"combination." *Kamus.net.* STANDS4 LLC, 2024. Web. 7 Nov. 2024. <https://www.kamus.net/english/combination>.

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