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Byju's Answer
Standard XII
Mathematics
Proper Set
Find the numb...
Question
Find the number of subsets and the number of proper subsets of the following sets.
(i)
A
=
{
13
,
14
,
15
,
16
,
17
,
18
}
(ii)
B
=
{
a
,
b
,
c
,
d
,
e
,
f
,
g
}
(iii)
X
=
{
x
:
x
∈
W
,
x
∉
N
}
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Solution
(i)
64
,
63
(ii)
128
,
127
(iii)
2
,
1
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0
Similar questions
Q.
Find the symmetric difference between the following sets.
(i)
X
=
{
a
,
d
,
f
,
g
,
h
}
,
Y
=
{
b
,
e
,
g
,
h
,
k
}
(ii)
P
=
{
x
:
3
<
x
<
9
,
x
∈
N
}
,
Q
=
{
x
:
x
<
5
,
x
∈
W
}
(iii)
A
=
{
−
3
,
−
2
,
0
,
2
,
3
,
5
}
,
B
=
{
−
4
,
−
3
,
−
1
,
0
,
2
,
3
}
Q.
Find
A
∪
B
and
A
∩
B
for the following sets.
(i)
A
=
{
0
,
1
,
2
,
4
,
6
}
and
B
=
{
−
3
,
−
1
,
0
,
2
,
4
,
5
}
(ii)
A
=
{
2
,
4
,
6
,
8
}
and
B
=
∅
(iii)
A
=
{
x
:
x
∈
N
,
x
≤
5
}
and
B
=
{
x
:
x
is a prime number less than 11}
(iv)
A
=
{
x
:
x
∈
N
,
2
<
x
≤
7
}
and
B
=
{
x
:
x
∈
W
,
0
≤
x
≤
6
}
Q.
Find the cardinal number of the following sets.
(i)
A
=
{
x
:
x
is a prime factor of 12 }
(ii)
B
=
{
x
:
x
∈
W
,
x
≤
5
}
Q.
If
A
=
{
a
,
b
,
c
,
d
,
e
,
f
}
, calculate the number of proper subsets of this set.
Q.
Write proper subsets of the following sets:
(i) A = {a, b}
(ii) B = {a, b, c, d}
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