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Byju's Answer
Standard XII
Mathematics
Properties of Symmetric Difference of Sets
For any two s...
Question
For any two sets
A
&
B
;
n
(
A
)
=
4
,
n
(
B
)
=
7
,
n
(
A
Δ
B
)
=
3
, then,
n
(
A
∩
B
)
=
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Solution
Given
n
(
A
)
=
4
,
n
(
B
)
=
7
,
n
(
A
Δ
B
)
=
3
We know the formula, i.e.,
n
(
A
Δ
B
)
=
n
(
A
)
+
n
(
B
)
−
2
n
(
A
∩
B
)
.
⇒
3
=
4
+
7
−
2
n
(
A
∩
B
)
⇒
n
(
A
∩
B
)
=
4
+
7
−
3
2
=
4.
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0
Similar questions
Q.
For any two sets
A
&
B
;
n
(
A
)
=
4
,
n
(
B
)
=
7
,
n
(
A
Δ
B
)
=
3
, then,
n
(
A
∩
B
)
=
Q.
For any two sets
A
&
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,
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(
A
∪
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)
=
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(
A
)
=
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,
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(
B
)
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,
then
n
(
A
∩
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)
=
Q.
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A
&
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,
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)
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)
=
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(
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∪
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then match the following:
Q.
For any two sets A and B, if n(A) =15, n(B) = 12, A ∩ B ≠ ϕ and B ⊄ A, then the maximum and and minimum possible values of n(A ∆ B) are _______ and ___________ respectively.
Q.
For any three sets
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&
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∪
B
∪
C
)
=
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(
A
)
+
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B
)
+
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C
)
−
n
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A
∩
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)
−
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Properties of Symmetric Difference of Sets
Standard XII Mathematics
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