How may I show the top 4 most recent result and then randomize in Views? I currently have a view; I would like to select the top 4 most recent nodes, and then display them in a random order.  

I think it would work if they were all posted on the same day. 
I have a "sort by date," and then I am using the random seed module to randomize the results. 

However, if they occurred on different days, the random does not take effect because it is sorting first by day.

Does anyone have any advice?
I'm not sure if I understand your requirement correctly but you can the following:


Create a views of node (teaser, fields.. whatever you need)
Sort by date (following the granularity you need)
Add a "Global: Random" sorting