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Mathematics
Mathematics
Problem
Let
A
=
{
1
,
2
,
3
}
A=\{1,2,3\}
A
=
{
1
,
2
,
3
}
and
B
=
{
1
,
2
,
3
}
B=\{1,2,3\}
B
=
{
1
,
2
,
3
}
. Find the number of ordered pairs
(
a
,
b
)
∈
A
×
B
(a,b)\in A\times B
(
a
,
b
)
∈
A
×
B
for which
a
<
b
a<b
a
<
b
.
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