  Recent studies of core-collapse supernovae have revealed the existence of two
distinct classes of massive supernovae (SNe): 1) very energetic SNe
(Hypernovae), whose kinetic energy (KE) exceeds $10^{52}$ erg, about 10 times
the KE of normal core-collapse SNe, and 2) very faint and low energy SNe (E <
0.5 $\times$ $10^{51}$ erg; Faint supernovae). These two classes of supernovae
are likely to be "black-hole-forming" supernovae with rotating or non-rotating
black holes. We compare their nucleosynthesis yields with the abundances of
extremely metal-poor (EMP) stars to identify the Pop III (or first) supernovae.
We show that the EMP stars, especially the C-rich type, are likely to be
enriched by black-hole-forming supernovae.
