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===Combinations===
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'''''The Godfather''''' is novel by [[Mario Puzo]] written in 1969. In 1972 [[Francis Ford Coppola]] directed a movie based on the novel.
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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"):
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:<math> = \binom{n}{r} \frac{n!}{(n-r)!r!}</math>
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The film follows the Corleone crime family, a fictional Italian-American criminal organization in the style of a [[mafia]].  It was directed by [[Francis Ford Coppola]] and based on the book of the same name by [[Mario Puzo]]. It won the [[Academy Award]] for Best Picture, and is considered to be one of the greatest American films of all time. The [[American Film Institute]] ranks ''The Godfather'' as the second-best movie of the last century, after ''[[Citizen Kane]]''.
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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.
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The film was followed by two sequels, ''[[The Godfather Part II]]'' (1974) (which also won Best Picture) and ''[[The Godfather Part III]]'' (1990) (which was nominated for Best Picture).
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{{DEFAULTSORT:Godfather, The}}
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[[Category:Drama]]
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[[category:Novels]]
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