Combination

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:

    I never see that man without feeling that he is one to become personally attach’d to, for his combination of purest, heartiest tenderness, and native western form of manliness.
    Walt Whitman (1819–1892)

    Hats have never at all been one of the vexing problems of my life, but, indifferent as I am, these render me speechless. I should think a well-taught and tasteful American milliner would go mad in England, and eventually hang herself with bolts of green and scarlet ribbon—the favorite colour combination in Liverpool.
    Willa Cather (1876–1947)

    [N]o combination of dictator countries of Europe and Asia will halt us in the path we see ahead for ourselves and for democracy.... The people of the United States ... reject the doctrine of appeasement.
    Franklin D. Roosevelt (1882–1945)