116784 A set A contains 10 elements, then the number of relations on \(A\) into \(A\) is,
(a) \(2^{10}\)
(b) \(10^2\)
(c) \(2^{100}\)
(d) \(2^{1000}\)
SRM JEEE 2018]#
Ans: c
Exp:C Given,
Set A contain 10 elements.
We know that, A set contains \(n\) elements then the number of relations on set into set is \(2^{\mathrm{n}^2}\).
So, then the number of relations \(\mathrm{A}\) into \(\mathrm{A}\) is-
\(2^{10^2}=2^{100}\)

116785 Let \(A=\{1,2,3,4\),\(\} and let R=\{(2,2)(3,3)\), \((4,4),(1,2)\}\) be a relation on \(A\), then \(R\) is

116786 If \(R\) is a relation on the set \(A=\{1,2,3,4,5,6\), \(7,8,9\}\) given by \(x R y \Leftrightarrow y=3 x\), then \(R=\)

116787 If \(A=\{a, b, c, d\}\) then a relation \(R=\{(a, b),(b\),
a), (a, a) \(\}\) on \(A\) is

116789 The relation \(R\) defined on set \(A=\{\mathbf{x}:|\mathbf{x}|\lt \mathbf{3}, \mathbf{x} \in \mathbf{I}\}\) by \(R=\{(\mathbf{x}, \mathbf{y}): \mathbf{y}=|\mathbf{x}|\}\) is

116784 A set A contains 10 elements, then the number of relations on \(A\) into \(A\) is,
(a) \(2^{10}\)
(b) \(10^2\)
(c) \(2^{100}\)
(d) \(2^{1000}\)
SRM JEEE 2018]#
Ans: c
Exp:C Given,
Set A contain 10 elements.
We know that, A set contains \(n\) elements then the number of relations on set into set is \(2^{\mathrm{n}^2}\).
So, then the number of relations \(\mathrm{A}\) into \(\mathrm{A}\) is-
\(2^{10^2}=2^{100}\)

116785 Let \(A=\{1,2,3,4\),\(\} and let R=\{(2,2)(3,3)\), \((4,4),(1,2)\}\) be a relation on \(A\), then \(R\) is

116786 If \(R\) is a relation on the set \(A=\{1,2,3,4,5,6\), \(7,8,9\}\) given by \(x R y \Leftrightarrow y=3 x\), then \(R=\)

116787 If \(A=\{a, b, c, d\}\) then a relation \(R=\{(a, b),(b\),
a), (a, a) \(\}\) on \(A\) is

116789 The relation \(R\) defined on set \(A=\{\mathbf{x}:|\mathbf{x}|\lt \mathbf{3}, \mathbf{x} \in \mathbf{I}\}\) by \(R=\{(\mathbf{x}, \mathbf{y}): \mathbf{y}=|\mathbf{x}|\}\) is

116784 A set A contains 10 elements, then the number of relations on \(A\) into \(A\) is,
(a) \(2^{10}\)
(b) \(10^2\)
(c) \(2^{100}\)
(d) \(2^{1000}\)
SRM JEEE 2018]#
Ans: c
Exp:C Given,
Set A contain 10 elements.
We know that, A set contains \(n\) elements then the number of relations on set into set is \(2^{\mathrm{n}^2}\).
So, then the number of relations \(\mathrm{A}\) into \(\mathrm{A}\) is-
\(2^{10^2}=2^{100}\)

116785 Let \(A=\{1,2,3,4\),\(\} and let R=\{(2,2)(3,3)\), \((4,4),(1,2)\}\) be a relation on \(A\), then \(R\) is

116786 If \(R\) is a relation on the set \(A=\{1,2,3,4,5,6\), \(7,8,9\}\) given by \(x R y \Leftrightarrow y=3 x\), then \(R=\)

116787 If \(A=\{a, b, c, d\}\) then a relation \(R=\{(a, b),(b\),
a), (a, a) \(\}\) on \(A\) is

116789 The relation \(R\) defined on set \(A=\{\mathbf{x}:|\mathbf{x}|\lt \mathbf{3}, \mathbf{x} \in \mathbf{I}\}\) by \(R=\{(\mathbf{x}, \mathbf{y}): \mathbf{y}=|\mathbf{x}|\}\) is

116784 A set A contains 10 elements, then the number of relations on \(A\) into \(A\) is,
(a) \(2^{10}\)
(b) \(10^2\)
(c) \(2^{100}\)
(d) \(2^{1000}\)
SRM JEEE 2018]#
Ans: c
Exp:C Given,
Set A contain 10 elements.
We know that, A set contains \(n\) elements then the number of relations on set into set is \(2^{\mathrm{n}^2}\).
So, then the number of relations \(\mathrm{A}\) into \(\mathrm{A}\) is-
\(2^{10^2}=2^{100}\)

116785 Let \(A=\{1,2,3,4\),\(\} and let R=\{(2,2)(3,3)\), \((4,4),(1,2)\}\) be a relation on \(A\), then \(R\) is

116786 If \(R\) is a relation on the set \(A=\{1,2,3,4,5,6\), \(7,8,9\}\) given by \(x R y \Leftrightarrow y=3 x\), then \(R=\)

116787 If \(A=\{a, b, c, d\}\) then a relation \(R=\{(a, b),(b\),
a), (a, a) \(\}\) on \(A\) is

116789 The relation \(R\) defined on set \(A=\{\mathbf{x}:|\mathbf{x}|\lt \mathbf{3}, \mathbf{x} \in \mathbf{I}\}\) by \(R=\{(\mathbf{x}, \mathbf{y}): \mathbf{y}=|\mathbf{x}|\}\) is

116784 A set A contains 10 elements, then the number of relations on \(A\) into \(A\) is,
(a) \(2^{10}\)
(b) \(10^2\)
(c) \(2^{100}\)
(d) \(2^{1000}\)
SRM JEEE 2018]#
Ans: c
Exp:C Given,
Set A contain 10 elements.
We know that, A set contains \(n\) elements then the number of relations on set into set is \(2^{\mathrm{n}^2}\).
So, then the number of relations \(\mathrm{A}\) into \(\mathrm{A}\) is-
\(2^{10^2}=2^{100}\)

116785 Let \(A=\{1,2,3,4\),\(\} and let R=\{(2,2)(3,3)\), \((4,4),(1,2)\}\) be a relation on \(A\), then \(R\) is

116786 If \(R\) is a relation on the set \(A=\{1,2,3,4,5,6\), \(7,8,9\}\) given by \(x R y \Leftrightarrow y=3 x\), then \(R=\)

116787 If \(A=\{a, b, c, d\}\) then a relation \(R=\{(a, b),(b\),
a), (a, a) \(\}\) on \(A\) is

116789 The relation \(R\) defined on set \(A=\{\mathbf{x}:|\mathbf{x}|\lt \mathbf{3}, \mathbf{x} \in \mathbf{I}\}\) by \(R=\{(\mathbf{x}, \mathbf{y}): \mathbf{y}=|\mathbf{x}|\}\) is