If set A has 2 elements and set B has 3 elements then how many su… - Vidyadip

MCQ

If set $A$ has $2$ elements and set $B$ has $3$ elements then how many subsets does $A \times B$ have?

A
$6$
B
$8$
C
$32 $
✓
$64$

✓

Answer

Correct option: D.

$64$

If set $A$ has m elements and set $B$ has $n$ elements then $A \times B$ has $m \times n$ elements.
We know, a set has $2^r$ subsets if it has $r$ number of elements.
Here, $A \times B$ has $2 \times 3 = 6$ elements.
So, number of subsets of $A \times B$ will be $2^6$
i.e. $64.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from Relations and Functions→Relations and Functions — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Let $a_1, a_2, a_3 \ldots a_n$ be $n$ positive consecutive terms of an arithmetic progression. If $d > 0$ is its common difference, then $\lim _{n \rightarrow \infty} \sqrt{\frac{d}{n}}\left(\frac{1}{\sqrt{a_1}+\sqrt{a_2}}+\frac{1}{\sqrt{a_2}+\sqrt{a_3}}+\ldots \ldots .+\frac{1}{\sqrt{a_{n-1}}+\sqrt{a_n}}\right)$

The sum of the coefficients in the expansion of ${(1 + x - 3{x^2})^{2163}}$ will be

The equation of the circle passing through $(3, 6)$ and whose centre is $(2, -1)$ is:

Find the coefficient of $\frac{1}{\text{y}^{2}}$ in $\Big(\text{y}+\frac{\text{c}}{\text{y}^{2}}\Big)^{10}.$

If $\sin \left( {x + \frac{{4\pi }}{9}} \right) = a;\,$ $\frac{\pi }{9}\, < \,x\, < \,\frac{\pi }{3},$ then $\cos \left( {x + \frac{{7\pi }}{9}} \right)$ equals :-

If the ${p^{th}}$ term of an $A.P.$ be $\frac{1}{q}$ and ${q^{th}}$ term be $\frac{1}{p}$, then the sum of its $p{q^{th}}$ terms will be

If $A$ lies in second quadrant $3\tan\text{A}+4=0,$ then the value of $2\cot\text{A}-5\cot\text{A}+\sin\text{A}$ is:

If $\left(\frac{1+i}{1-i}\right)^{\frac{m}{2}}=\left(\frac{1+i}{i-1}\right)^{\frac{n}{3}}=1,(m, n \in N)$ then the greatest common divisor of the least values of $m$ and $n$ is

A circle has centre $C$ on axes of parabola & it touches the parabola at point $P$. $CP$ makes an angle of $120^o$ with axis of parabola. If radius of circle is $2$, then latus rectum of parabola is-

If $\text{g}(\text{x}) = 1 +\sqrt{\text{x}}$ and $ \text{fg} (\text{x}) = 3 + 2\sqrt{\text{x} +\text{ x}},$ then $\text{f}(\text{x})=$