Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE institution (institution_id VARCHAR, founded VARCHAR, type VARCHAR)
TABLE: CREATE TABLE protein (institution_id VARCHAR)

### Question ###
How many proteins are associated with an institution founded after 1880 or an institution with type "Private"?

### Accurate SQL ###

SELECT COUNT(*) FROM institution AS T1 JOIN protein AS T2 ON T1.institution_id = T2.institution_id WHERE T1.founded > 1880 OR T1.type = 'Private'