In the expansion of (√[3] 2 +1/(√[3] 3))^n, n ∈ N, if the ratio of 15^th term from the beginning to the 15^th term from the end is 1/6, then the…

In the expansion of $\displaystyle \left(\sqrt[3]{2}+\frac{1}{\sqrt[3]{3}}\right)^n, n \in \mathbb{N}$, if the ratio of $\displaystyle 15^{\text {th }}$ term from the beginning to the $\displaystyle 15^{\text {th }}$ term from the end is $\displaystyle \frac{1}{6}$, then the value of $\displaystyle { }^n C_3$ is