Is it possible to have “overloaded” uritemplates?

        [OperationContract]
    [WebGet(UriTemplate = "/searchresults/{searchTerm}/{searchType}", ResponseFormat = WebMessageFormat.Xml, RequestFormat = WebMessageFormat.Xml, BodyStyle = WebMessageBodyStyle.Bare)]
    Message GetSearchResults(string searchTerm, string searchType);

    [OperationContract]
    [WebGet(UriTemplate = "/searchresults/{searchTerm}", ResponseFormat = WebMessageFormat.Xml, RequestFormat = WebMessageFormat.Xml, BodyStyle = WebMessageBodyStyle.Bare)]
    Message GetSearchResults(string searchTerm);

Is this possible - if not, can someone suggest an alternative?