MCQ
$n$ બાજુવાળા બહિર્મૂખ બહુકોણ વિકર્ણની સંખ્યા ..... છે.
- A$\frac{1}{2}n(n - 1)$
- B$\frac{1}{2}n(n - 2)$
- C$\frac{1}{2}n(n - 3)$
- D$\frac{1}{2}n(n - 4)$
$ = {\kern 1pt} \,\left( {\begin{array}{*{20}{c}}
n \\
2
\end{array}} \right)\, - \,n = \,\frac{1}{2}\,n\,(n\, - \,1)\, - \,n = \,\frac{1}{2}\,[n\,(n\, - \,1)\, - 2n]$
$ = \,\frac{1}{2}\,({n^2}\, - \,3n) = \,\frac{1}{2}\,n(n\, - \,3)$
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