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Search options not deleted user 19075

for questions involving inequalities, upper and lower bounds.

4 votes
3 answers
2k views

Factorial-inequalities

Let $n>15$ be an integer. Suppose also $n=\sum_{i=1}^n ic_i$, where $c_i$ are non-negative integers. Assume further that $c_1<4$. Is the following inequality true? $$\frac{n!}{\prod_{i=1}^{n}i^{c_i}\ …
Alireza Abdollahi's user avatar