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JEE MATHEMATICS MCQ: COMBINATIONS

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Application +4 | -1
If   n−1C3+  n−1C4>  nP3,{\;^{n - 1}}{C_3} + {\;^{n - 1}}{C_4} > {\;^n}{P_3}, then
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Correct option: C
n>7n > 7
Option C (n>7n > 7) is correct because solving the inequality   n−1C3+  n−1C4>  nP3{\;^{n - 1}}{C_3} + {\;^{n - 1}}{C_4} > {\;^n}{P_3} leads to the condition n>7n > 7.

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