Particle Triumverate

I’ve been trying to conduct various test to see what Blender can do. One of my tests involved trying to create a sphere that emits icospheres which in turn emit Suzannes which then explode. I managed to get the sphere to emit the icospheres but they won’t emit any Suzannes. Is this a bug or am I trying something that can’t be done or am I just missing something? I’m running Ubuntu Studio LTS.
Here is the file I created.
Particle Triumverate.blend (4.02 MB)