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Mathematics
Mathematics
Problem
Let
A
=
{
x
1
,
x
2
,
x
3
,
x
4
,
x
5
,
x
6
,
x
7
,
x
8
}
A = \{x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8\}
A
=
{
x
1
,
x
2
,
x
3
,
x
4
,
x
5
,
x
6
,
x
7
,
x
8
}
,
B
=
{
y
1
,
y
2
,
y
3
,
y
4
}
B = \{y_1, y_2, y_3, y_4\}
B
=
{
y
1
,
y
2
,
y
3
,
y
4
}
. The total number of function
f
:
A
→
B
f : A \rightarrow B
f
:
A
→
B
that are onto and there are exactly three elements
x
x
x
in
A
A
A
such that
f
(
x
)
=
y
1
f(x) = y_1
f
(
x
)
=
y
1
is : (a) 11088 (b) 10920 (c) 13608 (d) None of these
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