Below is an instruction that describes a task. Write a response that appropriately completes the request.

### Instruction:
How many institutions are located in wilmore, kentucky and private

### Inputs:
table_name: table, columns: ['Institution', 'Nickname', 'Location', 'Founded', 'Type', 'Enrollment']

### Response:
SELECT MAX Founded FROM table WHERE Type = Private AND Location = Wilmore, Kentucky