Discrete Math Quiz
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SETS, RELATIONS, AND FUNCTIONS
Question 1
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Let
A
=
{
a
,
b
}
A = \{a, b\}
A
=
{
a
,
b
}
and
B
=
{
1
,
2
,
3
}
B = \{1, 2, 3\}
B
=
{
1
,
2
,
3
}
. Define the relation
R
=
{
(
(
x
,
y
)
,
z
)
:
(
x
,
y
)
∈
A
×
A
and
z
∈
B
and
x
≠
y
}
R = \{((x,y), z) : (x,y) \in A \times A \text{ and } z \in B \text{ and } x \neq y\}
R
=
{((
x
,
y
)
,
z
)
:
(
x
,
y
)
∈
A
×
A
and
z
∈
B
and
x
=
y
}
. What is
∣
R
∣
|R|
∣
R
∣
?
A
4
B
6
C
9
D
12
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