The countActivePartitionsOnServers parameter counts the number of partitions on all servers. This command is scoped to only show information for a particular application, partition, and classification.
./wpfadmin countActivePartitionsOnServers
[root@wpfsample3 bin]# ./wpfadmin countActivePartitionsOnServers WASX7209I: Connected to process "Deployment Manager" on node wpfsample3Manager using SOAP connector; The type of process is: DeploymentManager WPFC0051I: Server wpfsample3Network\wpfsample3\s9: 3 WPFC0051I: Server wpfsample3Network\wpfsample3\s3: 3 WPFC0051I: Server wpfsample3Network\wpfsample3\s2: 3 WPFC0051I: Server wpfsample3Network\wpfsample2\s8: 3 WPFC0051I: Server wpfsample3Network\wpfsample3\s1: 3 WPFC0051I: Server wpfsample3Network\wpfsample2\s7: 4 WPFC0051I: Server wpfsample3Network\wpfsample2\s6: 4 WPFC0051I: Server wpfsample3Network\wpfsample2\s5: 4 WPFC0051I: Server wpfsample3Network\wpfsample2\s4: 3