Clipper: get multiple outside features

I am trying to create multiple 'masks' at once.

I have a shapefile with a lot of small zones, and a shapefile with one large region. I would like to create a shapefile with as many features as the number of small zones, each feature holding the geometry of the large region with 1 of the small zones cut out.

In short: I would like to create a shapefile that can server as a mask for all of these smaller regions individually. It is meant to be used for Data Driven Pages printing purposes in ArcGIS.

My attempts with the Clipper transformer were not succesfull so far: when clipping all the small zones out of the large region, at the 'outside' port only one feature emerges: the large region with all of the small zones cut out at once.