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Question
Mathematics
Let n(A) = 8 and n(B) = p. Then, the total number of non-empty relations that can be defined from A to B is
Q. Let
n
(
A
)
=
8
and
n
(
B
)
=
p
. Then, the total number of non-empty relations that can be defined from
A
to
B
is
5525
192
Relations and Functions
Report Error
A
8
p
13%
B
n
p
−
1
8%
C
8
p
−
1
17%
D
2
8
p
−
1
62%
Solution:
Given
n
(
A
)
=
8
and
n
(
B
)
=
p
∴
Total number of relations from
A
to
B
=
2
8
p
∴
Total number of non-empty relations from
A
to
B
=
2
8
p
−
1