  In this study, we report a probabilistic insight into the stellar mass and
supernovae (SNe) explosion energy of the possible progenitors of five CEMP-no
stars. This was done by a direct comparison between the abundance ratios [X/Fe]
of the light-elements and the predicted nucleosynthetic yields of SN of
high-mass metal-free stars. This comparison suggests possible progenitors with
stellar mass range of 11 - 22\,M$_{\odot}$ and explosion energies of $0.3 - 1.8
\times 10^{51}$\,erg. The coupling of the chemical abundances with kinematics
derived from $Gaia$ DR2 suggests that our sample do not enter the outer-halo
region. In addition, we suggest that these CEMP-no stars are not $Gaia$-Sausage
nor $Gaia$-Sequoia remnant stars, but another accretion event might be
responsible for the contribution of these stars to the Galactic Halo of the
Milky-Way.
