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JEE Main 22 Jan 2025 Shift 1 Paper
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Section:
Mathematics
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© examsnet.com
Question : 3
Total: 75
The number of non-empty equivalence relations on the set
{
1
,
2
,
3
}
is:
[22 Jan 2025 Shift 1]
5
7
4
6
Validate
Solution:
👈: Video Solution
Number of non-empty equivalence relations on the set
{
1
,
2
,
3
}
will be bell number
3
=
5
{
{
1
,
}
{
2
}
,
{
3
}
}
,
{
{
1
,
2
}
,
{
3
}
}
,
{
{
1
,
3
}
,
{
2
}
,
{
2
,
3
}
,
{
1
}
}
,
{
{
1
,
2
,
3
}
}
.
Therefore, total non-empty equivalence relation is 5 .
© examsnet.com
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