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Problem
Problem
Let
A
=
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
}
A = \{0, 1, 2, 3, 4, 5, 6, 7\}
A
=
{
0
,
1
,
2
,
3
,
4
,
5
,
6
,
7
}
. Then the number of bijective functions
f
:
A
→
A
f: A \rightarrow A
f
:
A
→
A
such that
f
(
1
)
+
f
(
2
)
=
3
−
f
(
3
)
f(1) + f(2) = 3 - f(3)
f
(
1
)
+
f
(
2
)
=
3
−
f
(
3
)
is equal to (a) 720 (b) 270 (c) 470 (d) 740
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