You can use the Views Calc module.
This module adds simple calculations to a views table. Requires the Views module.
You can SUM, AVERAGE, COUNT, MIN, MAX, or AVG selected columns. A plug in theme makes the view look more spreadsheet-like (right justifies numeric fields, shades calculated columns and rows, and underlines calculated rows).
Then all you need to do is to set up aggregation properly. You should do a COUNT aggregate on a field that all of your degrees have in common, for instance content type.