The Prime Minister (PM) is usually the leader of the largest party in a government or the leader of the party who wins an election. In Scotland, the First Minister (FM) is elected by all MSPs but it usually the leader of the party with the most MSPs in the Scottish Parliament. Like the Prime Minister, the First Minister is officially appointed by the monarch.
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The PM has several roles including selecting cabinet ministers and chairing meetings of the cabinet. Cabinet ministers are senior MPs who have responsibility for running a government department such as defence or international development. There is a minister for Scotland titled the Secretary of State for Scotland.