Question

Scope of Quantifiers:

One of the expressions below means "If everybody passes the course, we'll celebrate."
The other expression means "If anybody passes the course, we'll celebrate."

Let x be a subset from the students in your class:

Answer 1

\[(\forall x) P(x) \rightarrow C\]
\[(\forall x) (P(x) \rightarrow C )\]

Where C is "We will celebrate"