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The binomial coefficients which are in increasing order are

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${}^{25}C_{11}, {}^{25}C_{12}, {}^{25}C_{13}, {}^{25}C_{14}$

${}^{25}C_{12}, {}^{25}C_{13}, {}^{25}C_{14}, {}^{25}C_{15}$

${}^{25}C_{9}, {}^{25}C_{10}, {}^{25}C_{11}, {}^{25}C_{12}$

${}^{25}C_{13}, {}^{25}C_{14}, {}^{25}C_{15}, {}^{25}C_{16}$

answer is C.

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Detailed Solution

$^{25} C_{12} =^{25} C_{13} is maximum binomial coefficient$

There fore ${}^{25}C_{9}, {}^{25}C_{10}, {}^{25}C_{11}, {}^{25}C_{12}$ are in increasing order

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