Math 135: Discrete Math, Spring 2010
Sample First Midterm
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View Full DocumentSample Midterm 1
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Multiple Choice (5 points each)
Indicate your answers by circling the correct one.
Each question has exactly one correct
answer.
There are no trick questions here, but you should still read everything carefully.
1. Which of the following subsets is in
P
(
P
(
∅
))
× P
(
{
1
,
2
,
3
}
)? (Recall that we use
P
(
A
) to
denote the powerset of a set
A
, and
∅
to denote the empty set.)
(a)
∅
(b) (
∅
,
1)
(c) (
∅
,
{
1
,
2
}
)
(d) (
{
∅
}
,
2)
(e) None of the above
2. Which of the following functions from
ZZ
to
ZZ
is not a bijection?
(a)
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 Fall '09
 JohnJames
 Physics, Electronics, Natural number

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