After installing a jenkins from scratch, the subversion option in the project configuration is there and works like expected. After some time working with jenkins and installing some plugins. The subversion options vanished, so that I only have CVS, None and (if installed) git is available. But Subversion option has vasnished.
I could reproduce this behaviour by cleaning the JENKINS_HOME directory and starting from scratch.
It was not 100% clear to me what might be the reason for this behaviour, but I assume that it might have to do with the pligin update form subversion. 1.34 comes with jenkins. 1.37 will be show as available update. When trying to install this update it downloads the update and after restart jenkins, it still tolds me that version 1.34 is active and there is an update for 1.37.