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

### Instruction:
What is the lowest FA cup with 1 league cup, less than 12 total and 1 premier league?

### Inputs:
table_name: table, columns: ['Name', 'Premier League', 'League Cup', 'FA Cup', 'Total']

### Response:
SELECT MIN FA Cup FROM table WHERE League Cup = 1 AND Total < 12 AND Premier League = 1