MCQ
જો $\left( {_3^n} \right) + \left( {_4^n} \right) > \left( {_{\,\,\,3}^{n + 1}} \right)$ હોય, તો....
- A$n > 6$
- B$n > 7$
- C$n < 6$
- D$n < 5$
$\left( {\begin{array}{*{20}{c}}
{n + 1} \\
4
\end{array}} \right) > \left( {\begin{array}{*{20}{c}}
{n + 1} \\
3
\end{array}} \right)$
$\frac{{(n + 1)\,!}}{{4\,!\,(n - 3)\,!}} > \,\frac{{(n + 1)\,!}}{{3\,!\,(n - 2)\,!}}\,\,$
$\,\,\frac{{(n + 1)\,!}}{{4\,(3\,!)(n - 3)\,!}} > \,\frac{{(n + 1)\,!}}{{3\,!\,(n - 2)(n - 3)\,!}}\,\,\,$
$\,\,\frac{1}{4} > \frac{1}{{n - 2}}\,\,$
$4 < n - 2$
$6 < n$
$\,\,n > 6$
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