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Proposition: Inequality between Binomial Coefficients and Reciprocals of Factorials

For all natural numbers $n\ge 1$ and $k\ge 0$, the following inequality holds $$\binom nk\frac 1{n^k}\le \frac 1{n !}.$$

Table of Contents

Proofs: 1

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References

Bibliography

1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983