CREATE TABLE table_23887174_1 (province__ashkharh_ VARCHAR, center VARCHAR)

How many different provinces is Baghaberd the center of?
SELECT COUNT(province__ashkharh_) FROM table_23887174_1 WHERE center = "Baghaberd"
SELECT COUNT("province__ashkharh_") FROM "table_23887174_1" WHERE "Baghaberd" = "center"