In Europe there are still 12 countries that still have royal families, they usually inherit the title but two of Europe’s royalties were based on a public vote.
Monarchies are divided in three parts, principality, kingdom or duchy. When a prince and/or a princess rule a country it is known as a principality country, for example Andorra. The United Kingdom as it suggests in the name is a kingdom country, this type of monarchy is ruled by a king and/or a queen.
While a duchy is a dominion or region ruled by a duke or duchess, such as Kate Middleton, who is the Duchess of Cambridge.