Combination
In mathematics a combination is a way of selecting several things out of a larger group, where (unlike permutations) 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
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Famous quotes containing the word combination:
“Never support two weaknesses at the same time. It’s your combination sinners—your lecherous liars and your miserly drunkards—who dishonor the vices and bring them into bad repute.”
—Thornton Wilder (1897–1975)
“By the “mud-sill” theory it is assumed that labor and education are incompatible; and any practical combination of them impossible. According to that theory, a blind horse upon a tread-mill, is a perfect illustration of what a laborer should be—all the better for being blind, that he could not tread out of place, or kick understandingly.... Free labor insists on universal education.”
—Abraham Lincoln (1809–1865)
“[The pleasures of writing] correspond exactly to the pleasures of reading, the bliss, the felicity of a phrase is shared by writer and reader: by the satisfied writer and the grateful reader, or—which is the same thing—by the artist grateful to the unknown force in his mind that has suggested a combination of images and by the artistic reader whom his combination satisfies.”
—Vladimir Nabokov (1899–1977)