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:
“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)
“Only amateurs say that they write for their own amusement. Writing is not an amusing occupation. It is a combination of ditch-digging, mountain-climbing, treadmill and childbirth. Writing may be interesting, absorbing, exhilirating, racking, relieving. But amusing? Never!”
—Edna Ferber (1887–1968)
“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)