Tardigrade
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Question
Mathematics
Let A= 1,2,3,4 . The number of different ordered pairs (B, C) that can be formed such that B ⊆ A , C ⊆ A and B ∩ C is empty, is
Q. Let
A
=
{
1
,
2
,
3
,
4
}
. The number of different ordered pairs (B, C) that can be formed such that
B
⊆
A
,
C
⊆
A
and
B
∩
C
is empty, is
751
113
Permutations and Combinations
Report Error
A
4
2
B
3
4
C
4
3
D
2
4
Solution:
For each element of set A, there are 3 possibilities i.e.,
(i) element of B but not element of C
(ii) element of C but not element of B
(iii) neither element of B nor element of C
So, number of ways
=
3
4