first minister vs head of state

first minister

noun
  • The principal minister of a ruler or state. 

  • A leader of a devolved government such as Scotland, Wales, or Northern Ireland. 

  • The prime minister or a provincial or territorial premier. 

head of state

noun
  • The chief public representative of a nation having duties, privileges and responsibilities varying greatly depending on the constitutional rules; a monarch in a monarchy, and often styled president in a republic, but variations such as collegiality exist. 

How often have the words first minister and head of state occurred in a corpus of books? (source: Google Ngram Viewer )