CREATE TABLE table_name_17 (fa_cup INTEGER, premier_league VARCHAR(255), league_cup VARCHAR(255), total VARCHAR(255))
What is the lowest FA cup with 1 league cup, less than 12 total and 1 premier league?
    
SQL: SELECT MIN(fa_cup) FROM table_name_17 WHERE league_cup = 1 AND total < 12 AND premier_league = 1