Answer: For supernova explosions caused by collapsing cores, the core itself will either become a Black-hole or a Neutron Star.
Step-by-step explanation:
A massive star becomes a Red Super-giant towards the end of its journey. It goes supernova. The inner core becomes either a neutron star or a black-hole. The remnant becomes neutron star if the initial mass of the star is three to eight solar mass. Star having initial mass more than eight solar mass forms a black-hole after supernova.
Hence, the correct options are:
For supernova explosions caused by collapsing cores, the core itself will either become a Black-hole or a Neutron Star.