Download App

Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions1 Mark
MCQ
If set $A$ has $2$ elements and set $B$ has $4$ elements then how many relations are possible?
  • A
    $32$
  • B
    $128$
  • ✓
    $256$
  • D
    $64$
✓

Answer

Correct option: C.
$256$
We know, $A \times B$ has $2 \times 4$ i.e. $8$ elements.
Number of subsets of $A \times B$ is $2^8$ i.e. $256.$
A relation is a subset of cartesian product so,
number of possible relations are $256.$

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

If $\beta=\lim _{x \rightarrow 0} \frac{e^{x^3}-\left(1-x^3\right)^{\frac{1}{3}}+\left(\left(1-x^2\right)^{\frac{1}{2}}-1\right) \sin x}{x \sin ^2 x}$

then the value of $6 \beta$ is $\qquad$

→
Three coins are tossed together, then the probability of getting at least one head is
→
The parametric equations of a parabola are $x = t^2 + 1, y = 2t + 1$. The cartesian equation of its directrix is
→
The radius of the circle, having centre at $(2,1)$ whose one of the chord is a diameter of the circle ${x^2} + {y^2} - 2x - 6y + 6 = 0$ is
→
The equation of the circle passing through the origin which cuts off intercept of length $6$ and $8$ from the axes is:
→
The integral values of $a$ for which the quadratic equation $(x - a) (x - 10) + 1 = 0$ has integral roots are
→
If $f(x) = a\cos (bx + c) + d$, then range of $f(x)$ is
→
Let $(1+2 x)^{20}=a_0+a_1 x+a_2 x^2+\ldots+a_{20} x^{20}$.Then $3 a_0+2 a_1+3 a_2+2 a_3+3 a_4+2 a_5+\ldots+2 a_{19}+3 a_{20}$ equals
→
If the extremities of the diagonal of a square are $(1, -2, 3)$ and $(2, -3, 5),$ then the length of the side is
→
The negation of the statement. $“101$ is not a multiple of $3”$ is.
→