# combination

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Related to combination: Combination reaction

## combination,

in business: see trusttrust,
in law, arrangement whereby property legally owned by one person is administered for the benefit of another. Three parties are ordinarily needed for the relation to arise: the settlor, who bequeaths or deeds the property for another's benefit; the trustee, in whose hands
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.

## Combination

(in Russian, kombinatsiia). (1) An interdependent union, connection, or arrangement of several objects or component parts (elements) of a single object.

(2) A set of procedures for carrying out a complex plan, such as a chess combination.

(3) A contrivance, trick, or subterfuge; a deliberate maneuver to achieve a mercenary or other improper goal (commercial combination; political combination).

(4) An item of women’s underclothing (a slip).

## Combination

in mathematics. Combinations of n elements taken k at a time are sets that contain k of the n elements and that differ from each other in at least one element. The number of combinations of n elements, k at a time, is denoted by , C (n, k), or and is equal to n!/k!(n - k)! (seeCOMBINATORICS).

## combination

[‚käm·bə′nā·shən]
(mathematics)
A selection of one or more of the elements of a given set without regard to order.

## combination

1.
a. the set of numbers that opens a combination lock
b. the mechanism of this type of lock
2. Brit a motorcycle with a sidecar attached
3. Maths
a. an arrangement of the numbers, terms, etc., of a set into specified groups without regard to order in the group
b. a group formed in this way. The number of combinations of n objects taken r at a time is n!/[(n -- r)!r!]. Symbol: nCr
4. the chemical reaction of two or more compounds, usually to form one other compound
5. Chess a tactical manoeuvre involving a sequence of moves and more than one piece

## combination

(mathematics)
A set containing a certain number of objects selected from another set.

The number of combinations of r objects chosen from a set of n is

n C r = n! / ((n-r)! r!)

where "n C r" is normally with n and r as subscripts or as n above r in parentheses.

See also permutation.

## combination

(reduction)
In the theory of combinators, a combination denotes an expression in which function application is the only operation.
References in classic literature ?
Lecount along the mazes of intricate combination through which she had steadily led the way, had upheld him while that effort lasted: the moment it was at an end, he dropped.
The events of the day, in combination with the twins, if not with the flip, had made Mrs.
Besides being possessed by my sister's idea that a mortifying and penitential character ought to be imparted to my diet - besides giving me as much crumb as possible in combination with as little butter, and putting such a quantity of warm water into my milk that it would have been more candid to have left the milk out altogether - his conversation consisted of nothing but arithmetic.
Even if any brain in Raveloe had put the said two facts together, I doubt whether a combination so injurious to the prescriptive respectability of a family with a mural monument and venerable tankards, would not have been suppressed as of unsound tendency.
If mildness were the more natural expression of such a combination of features, it was plain, that in the present instance, the exercise of habitual superiority, and the reception of general homage, had given to the Saxon lady a loftier character, which mingled with and qualified that bestowed by nature.
Let me try," said Agatha, slipping her arm about Jane's ample waist, and eliciting a piercing combination of laugh and scream from her.
They soon perceived that the indispensably needed powers were such as no State government, no combination of them, was by the principles of the Declaration of Independence competent to bestow.
The same man, stimulated by private pique against the MEGARENSIANS,[2] another nation of Greece, or to avoid a prosecution with which he was threatened as an accomplice of a supposed theft of the statuary Phidias,[3] or to get rid of the accusations prepared to be brought against him for dissipating the funds of the state in the purchase of popularity,[4] or from a combination of all these causes, was the primitive author of that famous and fatal war, distinguished in the Grecian annals by the name of the PELOPONNESIAN war; which, after various vicissitudes, intermissions, and renewals, terminated in the ruin of the Athenian commonwealth.
The federal Constitution forms a happy combination in this respect; the great and aggregate interests being referred to the national, the local and particular to the State legislatures.
The locks are so finely adjusted that the doors are released by the action of a certain combination of thought waves.
Another reproduced the most singular combinations with a spinning-top; in his hands the revolving tops seemed to be animated with a life of their own in their interminable whirling; they ran over pipe-stems, the edges of sabres, wires and even hairs stretched across the stage; they turned around on the edges of large glasses, crossed bamboo ladders, dispersed into all the corners, and produced strange musical effects by the combination of their various pitches of tone.
Such are Dithyrambic and Nomic poetry, and also Tragedy and Comedy; but between them the difference is, that in the first two cases these means are all employed in combination, in the latter, now one means is employed, now another.
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