1
You visited us
1
times! Enjoying our articles?
Unlock Full Access!
Byju's Answer
Standard XII
Mathematics
Properties of Set Operation
If n A = 120,...
Question
If n (A) = 120, N(B) = 250 and n (A - B) = 52, then find
n
(
A
∪
B
)
A
302
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B
250
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
368
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
None of the above
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution
The correct option is
A
302
n
(
A
−
B
)
=
n
(
A
)
−
n
(
A
∩
B
)
⇒
52
=
120
−
n
(
A
∩
B
)
⇒
n
(
A
∩
B
)
=
120
−
52
=
68
Now
n
(
A
∪
B
)
=
n
(
A
)
+
n
(
B
)
−
n
(
A
∩
B
)
=
120
+
250
−
68
=
302
Suggest Corrections
0
Similar questions
Q.
Let the sets
A
=
{
2
,
4
,
6
,
8
,
.
.
.
}
and
B
=
{
3
,
6
,
9
,
12
,
.
.
.
}
, and
n
(
A
)
=
200
,
n
(
B
)
=
250
. Then
Q.
If
n
(
A
)
=
30
,
n
(
B
)
=
40
and
n
(
A
∪
B
)
=
52
then find
n
(
A
∩
B
)
Q.
If
n
(
A
)
=
40
,
n
(
B
)
=
27
and
n
(
A
∩
B
)
=
15
, find
n
[
(
A
∪
B
)
−
A
]
Q.
Use the given figure to find :
Given,
n
(
ξ
)
=
52
,
n
(
A
)
=
43
and
n
(
B
)
=
27
.
n
(
A
−
B
)
Q.
If
n
(
∪
)
=
900
,
n
(
A
)
=
300
,
n
(
B
)
=
200
,
n
(
A
∩
B
)
=
100
, then find
n
(
A
′
∩
B
′
)
.
View More
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
Related Videos
Properties of Set Operation
MATHEMATICS
Watch in App
Explore more
Properties of Set Operation
Standard XII Mathematics
Join BYJU'S Learning Program
Grade/Exam
1st Grade
2nd Grade
3rd Grade
4th Grade
5th Grade
6th grade
7th grade
8th Grade
9th Grade
10th Grade
11th Grade
12th Grade
Submit
AI Tutor
Textbooks
Question Papers
Install app