If it's winner takes all then you're right. The head of state is indeed in charge of all departments.
If it's more of a parliamentary system then the head of state needs to put x members in charge depending on the outcome of the vote. So if there's x percentage points of the population who voted for the opposing party then x percentage members of the cabinet should be of the other party.
When it's not winner takes all, it doesn't matter if a percentage of the population thinks someone is a weak leader. The other percentage will still have a say in the executive branch of the government. It becomes trickier as a leader because you not only have to have support of your own party but also from your coalition partners. (EU multi-party politics in a nut shell)
Before anyone responds, I'm not claiming this is better or worse than other systems!
> If it's more of a parliamentary system then the head of state needs to put x members in charge depending on the outcome of the vote. So if there's x percentage points of the population who voted for the opposing party then x percentage members of the cabinet should be of the other party.
I think you're confusing "parliamentary system" with something else.
If it's winner takes all then you're right. The head of state is indeed in charge of all departments.
If it's more of a parliamentary system then the head of state needs to put x members in charge depending on the outcome of the vote. So if there's x percentage points of the population who voted for the opposing party then x percentage members of the cabinet should be of the other party.
When it's not winner takes all, it doesn't matter if a percentage of the population thinks someone is a weak leader. The other percentage will still have a say in the executive branch of the government. It becomes trickier as a leader because you not only have to have support of your own party but also from your coalition partners. (EU multi-party politics in a nut shell)
Before anyone responds, I'm not claiming this is better or worse than other systems!