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:
“Let him [the President] once win the admiration and confidence of the country, and no other single force can withstand him, no combination of forces will easily overpower him.... If he rightly interpret the national thought and boldly insist upon it, he is irresistible; and the country never feels the zest of action so much as when the President is of such insight and caliber.”
—Woodrow Wilson (1856–1924)
“Doubts of all things earthly, and intuitions of some things heavenly; this combination makes neither believer nor infidel, but makes a man who regards them both with equal eye.”
—Herman Melville (1819–1891)
“[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)