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Byju's Answer
Standard VII
Mathematics
Difference of Two Sets
If C1=x: 1 ...
Question
If
C
1
=
{
x
:
1
<
x
<
2
}
and
C
2
=
{
x
:
4
<
x
<
5
}
, find
P
(
C
1
∪
C
2
)
.
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Solution
We have
P
(
C
1
∩
C
2
)
=
ϕ
P
(
C
1
∪
C
2
)
=
P
(
C
1
)
+
P
(
C
2
)
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0
Similar questions
Q.
Prove that
C
0
x
−
C
1
x
+
1
+
C
2
x
+
2
−
(
−
1
)
n
C
n
x
+
n
=
n
!
x
(
x
+
1
)
.
.
(
x
+
n
)
where n is the + ive integer and x is not a negative integer Hence prove that
C
0
1
−
C
1
4
+
C
2
7
−
.
.
.
.
.
.
.
+
(
−
1
)
n
C
n
3
n
+
1
=
3
n
⋅
n
!
1.4.7.....
(
3
n
+
1
)
Q.
If
(
1
+
x
)
15
=
C
0
+
C
1
.
x
+
C
2
.
x
2
+
.
.
.
.
+
C
15
.
x
15
and
C
2
+
2
C
3
+
3
C
4
+
.
.
.
.
+
14
C
15
=
a
2
b
+
c
,
then find
a
+
b
+
c
Q.
C
0
x
−
C
1
x
+
1
+
C
2
x
+
2
−
.
.
.
.
.
.
+
(
−
1
)
n
C
n
x
+
n
=
_______ where
C
r
stands for
n
C
r
.
Q.
Consider two curves
C
1
:
y
=
1
x
and
C
2
:
y
=
l
n
x
on the xy plane Let
D
1
denotes the region surrounded by
C
1
,
C
2
and the line
x
=
1
and
D
2
denotes the region surrounded by
C
1
,
C
2
and the line
x
=
a
If
D
1
=
D
2
then the value of 'a':
Q.
If
(
1
+
x
)
n
=
C
0
+
C
1
x
+
C
2
x
2
+
⋅
⋅
⋅
⋅
⋅
+
C
n
x
n
, then
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