Gujarati
6.Permutation and Combination
medium

यदि  $^n{C_3} + {\,^n}{C_4} > {\,^{n + 1}}{C_3},$ तब

A

$n > 6$

B

$n > 7$

C

$n < 6$

D

इनमें से कोई नहीं

Solution

${}^n{C_3} + {}^n{C_4} > {}^{n + 1}{C_3}$

$\Rightarrow $ $\frac{{{}^{n + 1}{C_4}}}{{{}^{n + 1}{C_3}}} > 1$

$\Rightarrow$   $\frac{{n – 2}}{4} > 1$

$ \Rightarrow n > 6$.

Standard 11
Mathematics

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