Exercise 1: How the Real PM-Appointment Convention Concretizes Chapter 9's Fusion-of-Powers Mechanics — Possible Solution
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Political Theory Fundamentals' own Chapter 9 established, in the
abstract, that a parliamentary system's own real executive is drawn
directly from the legislature and remains genuinely accountable to it
- deriving legitimacy from commanding the real "confidence" of a
parliamentary majority, with that confidence able to be withdrawn at
any time. This was described as a general, structural feature of
parliamentary systems as a category, not tied to any one specific
country's own real mechanics.

This chapter's own real, verified convention - the monarch appoints
whoever has, or is most likely to command, the real confidence of the
House, normally the leader of the largest party - is the exact,
concrete UK-specific instance of that same general principle. Where
Chapter 9 spoke generally about "the executive" being "accountable
to" the legislature, this chapter names the actual real, specific
mechanism doing that work in the UK: a formal, real royal appointment
that is genuinely conditioned entirely on Commons confidence, not on
any independent monarchical judgment about who would govern well.

This also directly continues Chapter 2's own real prerogative-powers
table, which listed "appointing the PM" as exercised per convention
rather than personal royal will, without spelling out what that
convention actually consists of. This chapter fills in exactly that
gap with the real, specific rule - confidence-based appointment - that
makes Chapter 2's own general claim concrete and verifiable rather
than an abstract assurance.

ANSWER: This chapter's own real PM-appointment convention is the
concrete UK-specific mechanism instantiating the general fusion-of-
powers principle Political Theory Fundamentals Chapter 9 described
abstractly - the executive (the PM) is drawn from and remains
accountable to the legislature (the Commons) via the real, specific
rule that the monarch appoints whoever commands, or is most likely to
command, Commons confidence, turning Chapter 2's own general "per
convention" claim into an actual, verifiable mechanism.

WHY THIS WORKS AS AN ANSWER
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This traces the specific real chain from Chapter 9's own general
theoretical claim through Chapter 2's own unspecified "convention"
reference to this chapter's own concrete mechanism, rather than simply
asserting that the two courses are connected.