CREATE TABLE table_40123 ("University" TEXT, "Men's" FLOAT, "Women's" FLOAT, "Runner-up" FLOAT, "Total Championships" FLOAT)

What is the lowest number of total championships of the university with 2 men's and more than 2 women's?
SELECT MIN("Total Championships") FROM table_40123 WHERE "Men's" = '2' AND "Women's" > '2'
SELECT MIN("Total Championships") FROM "table_40123" WHERE "Men's" = '2' AND "Women's" > '2'