1.

If \[P=n({{n}^{2}}-{{1}^{2}})({{n}^{2}}-{{2}^{2}})({{n}^{2}}-{{3}^{2}})...({{n}^{2}}-{{r}^{2}}),\] \[n>r,n\in N\] then P is necessarily divisible by

A. \[(2r+2)!\]
B. \[(2r+4)!\]
C. \[(2r+1)!\]
D. None of these
Answer» D. None of these


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