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Byju's Answer
Standard XII
Mathematics
n(A∪B) = n(A) + n(B) − n(A∩B)
If two sets A...
Question
If two sets
A
and
B
are such that
n
(
A
)
=
20
,
n
(
A
∩
B
)
=
4
, and
n
(
A
∪
B
)
=
42
, then
A
n
(
B
)
=
22
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B
n
(
B
−
A
)
=
22
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
n
(
B
)
=
26
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
D
n
(
A
−
B
)
=
16
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
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Solution
The correct option is
D
n
(
A
−
B
)
=
16
n
(
A
)
=
20
,
n
(
A
∩
B
)
=
4
,
n
(
A
∪
B
)
=
42
n
(
A
∪
B
)
=
n
(
A
)
+
n
(
B
)
−
n
(
A
∩
B
)
⇒
42
=
20
+
n
(
B
)
−
4
⇒
n
(
B
)
=
26
n
(
B
−
A
)
=
n
(
B
)
−
n
(
A
∩
B
)
=
22
n
(
A
−
B
)
=
n
(
A
)
−
n
(
A
∩
B
)
=
16
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0
Similar questions
Q.
If two sets
A
and
B
are such that
n
(
A
)
=
20
,
n
(
A
∩
B
)
=
4
, and
n
(
A
∪
B
)
=
42
, then
Q.
Let A and B be two sets such that :
n
(
A
)
=
20
,
n
(
A
∪
B
)
=
42
and
n
(
A
∩
B
)
=
4
. Find n(A-B)
Q.
If two sets
A
and
B
are such that
n
(
A
)
=
20
,
n
(
A
∩
B
)
=
4
, and
n
(
A
∪
B
)
=
42
, then
Q.
Let A and B be two sets such that :
n
(
A
)
=
20
,
n
(
A
∪
B
)
=
42
and
n
(
A
∩
B
)
=
4
. Find n(B)
Q.
Let A and B be two sets such that n(A) =20 ,
n
(
A
∪
B
)
=
42
nd
n
(
A
∩
B
)
=
4
Find
n(B),
n(A-B) and
n(B-A)
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n(A∪B) = n(A) + n(B) − n(A∩B)
Standard XII Mathematics
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