The selection process begins with the general elections, which are held every four years. In these elections, voters elect the members of the House of Representatives (Tweede Kamer). The House of Representatives is the lower house of the Dutch Parliament, and it has 150 members.
After the general elections, the King appoints a "formateur" to lead the negotiations to form a new government. The formateur is typically a senior politician who is not affiliated with any particular political party. The formateur's job is to bring together the leaders of the different political parties and negotiate a coalition agreement.
Once a coalition agreement has been reached, the formateur presents it to the King. The King then appoints the Prime Minister and the other ministers of the new government. The new government must then be approved by a majority vote in the House of Representatives.
If the new government is not approved by the House of Representatives, then the King must appoint a new formateur to try to form a different government. The process continues until a government is approved by the House of Representatives.
The selection of the Prime Minister and the other ministers in the Netherlands is a complex process, but it is designed to ensure that the government is representative of the will of the people.