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Permutations And Combinations

Question

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Compute:

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Solution

fraction numerator 11 factorial over denominator 8 factorial space 3 factorial end fraction space equals space fraction numerator 11 cross times 10 cross times 9 cross times 8 factorial over denominator 8 factorial space 3 factorial end fraction space equals space fraction numerator 11 cross times 10 cross times 9 over denominator 3 cross times 2 cross times 1 end fraction equals 165

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