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Permutations And Combinations

Question

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If $fraction numerator straight n factorial over denominator 9 factorial space left parenthesis straight n minus 9 right parenthesis factorial end fraction equals fraction numerator straight n factorial over denominator left parenthesis straight n minus 8 right parenthesis factorial space 8 factorial end fraction comma space find space value space of space fraction numerator straight n factorial over denominator 17 factorial space left parenthesis straight n minus 17 right parenthesis factorial end fraction$

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Ans. 1

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