The International Astronomical Union (IAU) has accepted four as official dwarf planets: Pluto, Eris, Haumea, and Makemake, as well as Ceres in the inner Solar System.
Philip Metzger has recently published a case that all dwarf planets are planets. The qualifying feature of a dwarf planet is that it "has sufficient mass for its self-gravity to overcome rigid-body forces so that it assumes a hydrostatic equilibrium (nearly round) shape" is enough to categorize as a planet.
We have 8 official planets and one or two likely planet 9 and 10 candidates which have some evidence but have not been found.
According to Mike Brown of Thu Jun 21 2018 there are:
10 objects which are nearly certainly dwarf planets,
16 objects which are highly likely to be dwarf planets (not recounting the certain),
39 objects which are likely to be dwarf planets (not recounting certain and highly likely),
88 objects which are probably dwarf planets (without recounting above categories)
573 objects which are possibly dwarf planets (without recounting above categories).