The least value of the natural number ' $n$ ' satisfying $c (n, 5) + c (n, 6) > c (n + 1, 5)$

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Solution

The correct option is D 11
The least value of $n$
$^{n} C_{5} +^{n} C_{6} =^{(n + 1)} C_{6} >^{(n + 1)} C_{5}$
$\Rightarrow n + 1 > 6 + 5$
$\Rightarrow n = 11$

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