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Neutrino mass hierarchy, CP-violation, and octant of $\theta_{23}$ are thefundamental unknowns in neutrino oscillations. In order to address all thesethree unknowns, we study the physics reach of a setup, where we replace theantineutrino run of T2HK with antineutrinos from muon decay at rest($\mu$-DAR). This approach has the advantages of having higher statistics inboth neutrino and antineutrino modes, and lower beam-on backgrounds forantineutrino run with reduced systematics. We find that a hybrid setupconsisting of T2HK ($\nu$) and $\mu$-DAR ($\bar\nu$) in conjunction with fullexposure from T2K and NO$\nu$A can resolve the issue of mass hierarchy atgreater than 3$\sigma$ C.L. irrespective of the choices of hierarchy,$\delta_{\mathrm{CP}}$, and $\theta_{23}$. This hybrid setup can also establishthe CP-violation at 5$\sigma$ C.L. for $\sim$ 55% choices of$\delta_{\mathrm{CP}}$, whereas the same for conventional T2HK ($\nu +\bar\nu$) setup along with T2K and NO$\nu$A is around 30%. As far as the octantof $\theta_{23}$ is concerned, this hybrid setup can exclude the wrong octantat 5$\sigma$ C.L. if $\theta_{23}$ is at least $3^{\circ}$ away from maximalmixing for any $\delta_{\mathrm{CP}}$.

A hybrid setup for fundamental unknowns in neutrino oscillations using T2HK ($\nu$) and $\mu$-DAR ($\bar{\nu}$)