Let K-m*r be the complete r-partite graph with m vertices in each part. Erdos, Rubin, and Taylor showed that K-2*r is r-choosable and suggested the problem of determining the choosability of K-m*r. We show that K-3*r is exactly [(4r - 1)/3] choosable. (C) 2000 Elsevier Science B.V. All rights reserved.