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

JEE MATHEMATICS MCQ: SET THEORY

1 Easy

1 of 1

Understanding +4 | -1

If the number of elements in

A

m

and number of element in

B

n

then the number of elements in the power set of

A \times B

View answer and explanation

Correct option: C

2^{m n}

Option C is correct because the number of elements in A × B is m*n, and the number of elements in the power set of A × B is 2^(m*n).

Practice All Chapter MCQs →

S

2 a_1 a_2 a_3 \ldots . . a_{2006}

a_1, a_2, a_3, \ldots ., a_{2006}

S

a N=\{a n: n \in N: b N=\{n b: n \in N\}

c N=\{c N: n \in N\}

b N \cap c N=d N

a, b, c \in N

b, c

A=\{x: x

\}

B=\{x: x

A-B

F(n)

n

[\mathrm{F}(20) \cap \mathrm{F}(16)] \subseteq \mathrm{F}(\mathrm{y})

40 \%

A, 20 \%

10 \%

C

A

C

4 \%

A

C

2 \%

A