Try using adobe flash removal tool (as opposed to the in built windows add/remove) - https://helpx.adobe.com/flash-player/kb/uninstall-flash-player-windows.html
Run it to remove any elements of adobe flash that may be on your pc, restart the pc, and then go here - https://www.adobe.com/software/flash/about/ in you browser, to download the latest version of flash and see if that installs.
If that still doesn't help, try this page - https://helpx.adobe.com/flash-player/kb/installation-problems-flash-player-windows.html which has some extra trouble shooting advice and direct links to the update files.