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Permutations And Combinations

Question

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Compute:

$fraction numerator 6 factorial over denominator 3 factorial end fraction$

Solution

fraction numerator 6 factorial over denominator 3 factorial end fraction space equals space fraction numerator 6 cross times 5 cross times 4 cross times 3 factorial over denominator 3 factorial end fraction space equals space 6 cross times 5 cross times 4 space equals space 120

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