Ii suppose youre on an exciting first date let

ii. Suppose you’re on an exciting first date. Let Y represent your hobbies and D represent your
date’s hobbies. Write an expression that says that you have a hobby that your date doesn’t
have.
iii. The song “I am Moana” from the movie Moana starts off with the following lyrics:
“I know a girl from an island / She stands apart from the crowd.”
Let K be the set of all people I know, G be the set of all girls, L be the set of all people from an island,
and C be the set of all people who stand apart from the crowd. Write an expression that expresses
the above lyric using the notation of set theory.
≠ 0

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iv. Let’s say that a committee is a group of people, which we can think of as being represented
by the set of people on that committee. Let’s have S represent the set of all students at Stan-
ford and let F represent the set of all faculty at Stanford. Write an expression representing
the set of all committees you can make from Stanford students and faculty that contain at
least one student and at least one faculty member. You can assume no one is both a student
).