Let \( \mathrm{P}_{\mathrm{n}} \) denotes the number of permutation...

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Let \( \mathrm{P}_{\mathrm{n}} \) denotes the number of permutations of \( \mathrm{n} \) distinct things taken all at a time and \( \mathrm{x}_{\mathrm{n}}={ }^{\mathrm{n}+5} \mathrm{C}_{4}-\left(\frac{143}{96}\right)\left(\frac{\mathrm{P}_{\mathrm{n}+5}}{\mathrm{P}_{\mathrm{n}+3}}\right) \) (where \( \left.\mathrm{n} \in \mathrm{N}\right) \). The possible value of \( \mathrm{n} \) for which \( \mathrm{x}_{\mathrm{n}} \) is negative, can be
\( \mathrm{P} \)
(A) 1
(B) 2
(C) 3
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