This paper makes an attempt to analyse the Activeness of a Distributed Object Oriented Component Library (DOOCL) and develops a software metric called Distributed Component Activeness Quotient which is defined as the degree of readiness of a DOOCL. The advantages of the DCAQ include a possible comparison between various DOOCL's leading to selection of the best DOOCL for use during the development task and providing a measure for gauging the usefulness of the DOOCL as indicated by the value of the DCAQ. The disadvantage of the DCAQ is that it may have some error because of its subjective and random nature.