Factorial Product Inequality

Show that $1! 3! 5! \dots (2 n - 1)! > (n!)^{n}$ for $n > 1$ .

~15 minProof · checked by AIFactorialsAM-GM inequalityInequalities

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XIX. Inequalities, Examples XIX.b, No. 18

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