CREATE TABLE table_12027364_1 (womens_singles VARCHAR, mens_singles VARCHAR)

How many womens singles winners were there when peter rasmussen won the mens singles?
SELECT COUNT(womens_singles) FROM table_12027364_1 WHERE mens_singles = "Peter Rasmussen"
SELECT COUNT("womens_singles") FROM "table_12027364_1" WHERE "Peter Rasmussen" = "mens_singles"