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:
“The principle of fashion is ... the principle of the kaleidoscope. A new year can only bring us a new combination of the same elements; and about once in so often we go back and begin again.”
—Katharine Fullerton Gerould (1879–1944)
“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)
“Nature is an endless combination and repetition of a very few laws. She hums the old well-known air through innumerable variations.”
—Ralph Waldo Emerson (1803–1882)