Math 143 Self-grading homework assignment #5

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For grade credit, submit over the internet by 11:59 PM (= 23:59 hours) on Sunday 3 April 2016

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.

Average grade on Fall 2015 paper test # 5 : 8.13 Perfect = 10 See future grade prospects?

[1]

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(S

D)=500, and n(D

S) = 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

See an
example of
this kind
of problem ??

(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

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

"I practiced this on Prof M^cFarland's website!"

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