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JEE Main Math Class 11 Relations and Functions Part 2 Questions
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© examsnet.com
Question : 28
Total: 95
Let
A
=
{
1
,
2
,
3
,
.
.
.
.7
}
and let
P
(
1
)
denote the power set of
A
. If the number of functions
f
:
A
→
P
(
A
)
such that
a
∈
f
(
a
)
,
∀
a
∈
A
is
m
n
,
m
and
n
∈
N
and
m
is least, then
m
+
n
is equal to______
[30-Jan-2024 Shift 1]
Your Answer:
Validate
Solution:
👈: Video Solution
f
:
A
⟶
P
(
A
)
a
∈
f
(
a
)
That means 'a' will connect with subset which contain element '
a
'.
Total options for 1 will be
2
6
. (Because
2
6
subsets contains 1)
Similarly, for every other element
Hence, total is
2
6
×
2
6
×
2
6
×
2
6
×
2
6
×
2
6
×
2
6
=
2
42
Ans.
2
+
42
=
44
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