If the number of elements in $\mathrm{A}$ is $\mathrm{m}$ and number of element in $\mathrm{B}$ is $\mathrm{n}$ then the number of elements in the power set of $A \times B$ is

JEE MATHEMATICS MCQ: RELATIONS

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Understanding +4 | -1

If the number of elements in

\mathrm{A}

\mathrm{m}

and number of element in

\mathrm{B}

\mathrm{n}

then the number of elements in the power set of

A \times B

View answer and explanation

Correct option: C

2^{\mathrm{mn}}

Option C (

2^{\mathrm{mn}}

) is correct because the power set of a set with mn elements has

2^{\mathrm{mn}}

elements.

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\mathrm{Z}

R

\mathrm{N}

\mathrm{R}

\mathrm{N} \times \mathrm{N}

(\mathrm{a}, \mathrm{b}) \mathrm{R}(\mathrm{c}, \mathrm{d})

a d(b+c)=b c(a+d)

\mathrm{R}

W

R

R=\{(x, y) \in W \times W \mid

x

y

\}

S

R = \{ \left( {a,\;b} \right):1 + ab > 0\}

S

X

R

X

A

B

R

R

N

R = \left\{ {\left( {x,\;y} \right):4x + 3y = 20} \right\}

R