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Byju's Answer
Standard IX
Mathematics
Venn Diagram
Given, ξ ...
Question
Given,
ξ
=
{Natural numbers between
25
and
45
};
A
=
{even numbers} and
B
{multiples of
3
}, then find :
n
(
A
)
+
n
(
B
)
Open in App
Solution
ξ
=
{
26
,
27
,
28
,
29
,
30
,
31
,
32
,
33
,
34
,
35
,
36
,
37
,
38
,
39
,
40
,
41
,
42
,
43
,
44
} as
x
is a natural number between
25
and
45
A
=
{
26
,
28
,
30
,
32
,
34
,
36
,
38
,
40
,
42
,
44
} as
A
is set of a multiple of
3
within the limits of the universal set already defined as
ξ
.
⇒
n
(
A
)
=
10
as there are
10
elements in the Set
A
.
And,
B
=
{
27
,
30
,
33
,
36
,
39
,
42
} as
B
is a set of multiple of
3
within the limits of the universal set already defined as
ξ
⇒
n
(
B
)
=
6
as there are
6
elements in the Set
B
.
So,
n
(
A
)
+
n
(
B
)
=
10
+
6
=
16
.
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0
Similar questions
Q.
Given,
ξ
=
{Natural numbers between
25
and
45
};
A
=
{even numbers} and
B
{multiples of
3
}. Find :
n
(
A
−
B
)
.
Q.
Given,
ξ
=
{Natural numbers between
25
and
45
};
A
=
{even numbers} and
B
{multiples of
3
}. Find :
n
(
A
′
∩
B
)
.
Q.
Given,
ξ
=
{Natural numbers between
25
and
45
};
A
=
{even numbers} and
B
{multiples of
3
} then
n
(
A
)
+
n
(
B
)
=
n
(
A
∪
B
)
+
n
(
A
∩
B
) .If true enter 1 else 0.
Q.
Given,
ξ
=
{Natural numbers between
25
and
45
};
A
=
{even numbers} and
B
{multiples of
3
}. Find :
n
(
A
∪
B
)
+
n
(
A
∩
B
).
Q.
Given,
ξ
=
{Natural numbers between
25
and
45
};
A
=
{even numbers} and
B
{multiples of
3
} then
n
(
A
−
B
)
=
n
(
A
′
∩
B
)
.If true enter 1 else 0.
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