How many Swedish citizens left Sweden to fight with the Allies?
During the "Winter War of 1939-40" approximately 8,800 Swedish men volunteered to serve in the Finnish military against the Soviet Union. 33 Swedes were KIA, 200 WIA. While this may not answer your exact question, it does give the "co-op" some idea as to the "neutrality" of Sweden during WW 2.
Richard V. Horrell WW 2 Connections.com