Prof. Bjorn Poonen
December 14, 2001
MATH 55 FINAL (yellow)
Do not write your answers on this sheet.
Instead please write your name, your
student ID, your TA’s name, your section time, “yellow,” and all your answers in
your blue books.
IMPORTANT: Write your answers to problems 1–12 on the first
page or two of your blue book, without the calculations you did to get the answers.
To guarantee full credit and to qualify for partial credit, you should show your work
on
later
pages of the blue book, labelled by problem number.
Total: 200 pts., 170
minutes.
(1)
(5 pts. each) For each of (a)(e) below: If the statement is true (always), write
TRUE. Otherwise write FALSE. (Please do not use the abbreviations T and F,
since in handwriting they are sometimes indistiguishable.)
No explanations are
required in this problem.
(a) Exactly half of the 3element subsets of
{
1
,
2
,
3
,
4
,
5
,
6
,
7
}
contain the number
5.
(b) If
A
,
B
, and
C
are pairwise disjoint sets (possibly infinite), and

A
∪
B

=

A
∪
C

, then

B

=

C

.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 STRAIN
 Math, pts, Natural number, Prime number, blue book, Prof. Bjorn Poonen

Click to edit the document details