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Byju's Answer
Standard VII
Mathematics
Union
A set is a co...
Question
A set is a collection of any elements.
A
True
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B
False
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Solution
The correct option is
B
False
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Similar questions
Q.
Let
A
be a set with
n
elements. Let
C
be a collection of distinct subsets of
A
such that for any two subsets
S
1
and
S
2
in
C
, either
S
1
⊂
S
2
or
S
2
⊂
S
1
. What is the maximum cardinality of
C
?
Q.
Let
n
be a natural number and
X
=
{
1
,
2
,
.
.
.
.
.
.
,
n
}
. For subsets
A
and
B
of
X
,
we denote
A
Δ
B
to be the set of all those elements of
X
which belong to exactly one of
A
and
B
.
Let
F
be a collection of subsets of
X
such that for any two distinct elements
A
and
B
in
F
, the set
A
Δ
B
has at least two elements. Show that
F
has at most
2
n
−
1
elements. Find all such collections
F
with
2
n
−
1
elements.
Q.
Assertion :Set is a distinguishable collection of objects. Reason: The description of a set should enable us to concretely decide whether a given particular object (element) is available in the collection or not.
Q.
How many elements does following set contains:
The collection of natural number less than 50
Q.
The relation from one set to other is defined as the collection of ordered pair, in which each ordered pair consists relating elements of both sets.
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