In this correspondence, we present a new proof of Horevo's coding theorem f
or transmitting classical information through quantum channels, and its str
ong converse. The technique is largely inspired by Wolfowitz's combinatoria
l approach using types of sequences. As a byproduct of our approach which i
s independent of previous ones, both in the coding theorem and the converse
, we can give a new proof of Holevo's information bound.