  We present equivalent conditions of reverse order law for the $(b,
c)$-inverse $(aw)^{(b,c)}=w^{(b,s)}a^{(t,c)}$ to hold in a ring. Also, we study
various mixed-type reverse order laws for the $(b,c)$-inverse. As a
consequence, we get results related to the reverse order law for the inverse
along an element. More general case of reverse order law $(a_1a_2)^{(b_3,
c_3)}=a_2^{(b_2, c_2)}a_1^{(b_1, c_1)}$ is considered too.
