I'm a bit curious about the intended user interaction.
Since this was posted in the Mac sub-forum, I'm assuming that you are using a Mac and don't have modless user forms available.
It sounds like you have a sheet with a 4X4 designated range (H1:K4 for this example)
***You also have a user form with 16 frames.
You want to randomly assign each frame to one of those cells (but not put the frame name in the cells)
On the worksheet, you have a SUBMIT button.
The user will type names of frames into the 16 cells and press SUBMIT.
The Userform will appear.
Only those frames that have been correctly matched with their (randomly assigned) cells will be shown.
Am I correct so far?
In any case, it sounds like you will also need a START button on the sheet, so that the "randomly assign frames with cells" can be run.
(This almost sounds like a simulation for a Big Brother competition. (No spoilers, I haven't seen the finale yet)
)