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Combinatorics

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Moderate

Inequalities in Pascal's Triangle

COMBIN-CVDGEL

What can be said about $n$ if:

$$ {n\choose 7} < {n\choose 8} \quad\mbox{and}\quad {n\choose 8} > {n\choose 9}?$$

A

$n=14$

B

$n=15$

C

$n=16$

D

$n=17$

E

$n$ is any integer greater than 17