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Math 76O-143 Finite Mathematics
Self-marking homework assignment #5
(SETS)
Submit over the internet by 11:59 PM on Sunday 3 April 2016 Maximum value toward semester grade is 2 pts
Methods will be discussed in class; CAUTION: Prof McFarland makes new tests each semester.

A survey of 1OOO subscribers to the Los Angeles Times
found that 9OO people subscribed Monday through Saturday, and 5OO
people (of those 9OO) subscribed all 7 days per week, Monday
through Sunday. All others subscribed only on Sunday.

(a)(2 pts) Define in English the SETS (not numbers) D and S in the
Venn diagram at the right, so that n(D)=900, n(SD)=500,
and n(DS) = 1000. Vague
definitions get less credit.
On paper tests, you must write definitions rather than choose among options.

Let D = set of people subscribing to the LA Times Monday thru Saturday only
Let S = set of people subscribing to the LA Times Monday thru Sunday

Let D = set of people subscribing to the LA Times Monday thru Saturday
Let S = set of people subscribing to the LA Times 7 days a week

Let D = set of people subscribing to the LA Times Monday thru Saturday
Let S = set of people subscribing to the LA Times only on Sunday

Let D = number of people subscribing to the LA Times Monday thru Saturday
Let S = number of people subscribing to the LA Times on Sunday

Let D = number of people subscribing to the LA Times Monday thru Saturday
Let S = number of people subscribing to the LA Times Monday thru Sunday

Let D = set of people subscribing to the LA Times Monday thru Saturday
Let S = set of people subscribing to the LA Times on Sunday

(b)(1 pts) Using correct definitions of D and S from [1a] above,
place numbers in the compartments of the Venn diagram below, so as to
interpret the information given in this problem.

(c)(2 pts)Consistent with your answers to (b) above,
how many people subscribed to the Sunday edition of
the LA Times?

1 pt credit (of 2) if [1c] is
inconsistent with [1b] but equals the number of Sunday subscribers.
Also, 1 point credit (out of 2) if [1c] is consistent
with [1b] even if both are wrong.

[2]

(a)(1 pt) In how many ways can 4 students be seated in
a row containing 4 seats?

That is, how many ways can 4 cats
sit on a fence? (including, of
course, me and my friend below!)

(b)(1 pt) There are 6 elective courses in Debbie's
degree program; Debbie must pick a pair of these elective
courses for next semester. How many such pairs are there?

(c)(1 pt) An exam consists of five questions which
can be left unanswered or can be answered with either "true" or
"false". Thus, one way for a student to respond to this exam would
be to leave all questions unanswered; a 2^{nd} way to respond would
be to answer "true" to the first 4 questions, but leave the fifth
question unanswered. In how many such different ways can a student
respond to this exam?

(d)(2 pts) On the Venn diagram at the right,
there are 8 pieces, each with a checkbox. Click the checkboxes
which are located in pieces of the set

A (B C)'
[On paper tests, you would shade these pieces]

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