Hodge * Operation on a non-coordinate basis

Question

I was reading Nakahara's Geometry, Topology and Physics, where I saw a claim that for a non-coordinate basis $\{\theta^\alpha\}=\{e^{\alpha}_{\ \ \mu}dx^\mu\}$, the Hodge * operation becomes $$*(\theta^{\alpha_1}\land\cdots\land\theta^{\alpha_r})=\frac{1}{(m-r)!}\varepsilon^{\alpha_1\cdots\alpha_r}_{\qquad\ \ \beta_{r+1}\cdots\beta_m}\theta^{\beta_{r+1}}\land\cdots\land\theta^{\beta_m}.$$ Does anyone know why this is the case? This is on page 290. Thanks!