MCQ
$2^n \{1\cdot 3\cdot 5\cdot ……. (2n - 3) \cdot(2n - 1)\} $= ……..
- A$\frac{{(2n)\,!}}{{n\,!}}$
- B$\frac{{(2n)\,!}}{{{2^n}}}$
- C$2^{n-i}$
- Dઆપેલ પૈકી એકપણ નહી.
$=\frac{{1\,.\,2\,.\,3\,.\,4.\,5.\,6....(2n - 1)\,(2n)\,{2^n}}}{{2.\,4.\,6.....2n}}$
$ = \frac{{(2n)\,!\;{2^n}}}{{{2^n}(1\;.\;2\;.\;3......n)}} = \frac{{(2n)\;!}}{{n\;!}}.$
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