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JEE MATHEMATICS MCQ: PERMUTATIONS

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The value of 20Cn25Cm\frac{{ }^{20} C_n}{{ }^{25} C_m} when both numerator and denominator have their greatest values, is
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Correct option: C
1434025\frac{143}{4025}
Option C (1434025\frac{143}{4025}) is correct because it is the ratio of the greatest values of the binomial coefficients 20Cn{ }^{20} C_n and 25Cm{ }^{25} C_m, which occur at n=10n=10 and m=13m=13 respectively.

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