Hi Swivels!
If I understood correctly, you have some Partitions that are identical, and others that are not. And you want a click on a sprite to remove it and all its doubles. If so, then you must add an instance variable to Partitions, for example "type", that is identical between some partitions. Then you could do :
On Partition clicked (Mouse condition)
Partition "type" instance variable = something (Partition Condition)
Destroy Partition (Partition action)
Maybe you could send a capx of your own that we'd modified to show you in more details if you don't manage to do this on your own with my method?