Counting Multiplicative Functions (Jee Mains) | ExamDuo
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Permutations
Hard
Counting Multiplicative Functions
Let
A
=
{
1
,
2
,
3
,
5
,
8
,
9
}
. Then the number of possible functions
f
:
A
→
A
such that
f
(
m
⋅
n
)
=
f
(
m
)
⋅
f
(
n
)
for every
m
,
n
∈
A
with
m
⋅
n
∈
A
is equal to _______.
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