How many fountains in the palace of Versailles?

there are no bathrooms in the palace. This is a common misconception. There were outside baths for commoners (anyone could enter the palace if appropriately dressed). People often paid servants to escort them to noble's bathrooms. The bathrooms were not plumbed as such (nor are those in Buckingham Palace, with a few exceptions) but were chaise piercee's with hidden chamber pots underneath to be emptied. The king and queen had separate rooms devoted for baths. There are photos of these in really detailed books on Versailles.