The success and acceptance of Web service composition depends on computing solutions comprised of trustworthy services. In this paper, we extend our Web service Composition framework to include selection and ranking of services based on their reputation score. With the increasing popularity of Web-based Social Networks like Linked in, Facebook, and Twitter, there is great potential in determining the reputation score of a particular service provider using Social Network Analysis. We present a technique to calculate a reputation score per service using centrality measure of Social Networks. We use this score to produce composition solutions that consist of services provided by trust-worthy and reputed providers.