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From Conservapedia

Combinations

It is often useful to find out how many groups of r objects can be created out of a group of n objects. This can be calculated from a function called "choose" (read aloud as "n choose r"):

Failed to parse (PNG conversion failed; check for correct installation of latex, dvips, gs, and convert): = \binom{n}{r} \frac{n!}{(n-r)!r!}

For example, take a race which has 10 competitors. There are 10 choose 3 different combinations of medal winners (that is, racers who get either 1st, 2nd, or 3rd place), which is a total of 10! / (10 - 3)! • 3! = 10! / 7! • 3! = 120 different combinations.