I am trying to structure a logical argument to answer a question.

The question is: what number of unique combinations can be made from 6 separate categories when there are 925 total items among all 6 categories with some overlap, a total of 650 unique values without overlap, and some of the numbers within the 6 categories count for both categories!?

Category 1: 158 values
Category 2: 168 values
Category 3: 296 values
Category 4: 69 values
Category 5: 117 values
Category 6: 117 values
TOTAL: 925 // Unique without value overlap: 650

I was using the combin function to get unique values, so =COMBIN(650, 6), or 1.02352E+14, however, how do I answer the question of sometimes needing less than 6 in a combination because some values count as more than one category???? Or am I over-thinking this and using the unique value of 650 automatically does that?