Download App

RELATIONS AND FUNCTIONS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSRELATIONS AND FUNCTIONS1 Mark
MCQ
If $R$ is a relation from a finite set $A$ having $m$ elements of a finite set $B$ having $n$ elements, then the number of relations from $A$ to $B$ is:
  • ✓
    $2^{\mathrm{mn}}$
  • B
    $2^{m n}-1$
  • C
    $2 mn$
  • D
    $m^n$
✓

Answer

Correct option: A.
$2^{\mathrm{mn}}$
  1. $2^{\mathrm{mn}}$
Solution:
Given, n(A) = m
n(B) = n
$\therefore$ n(A × B) = mn
Then, the number of relations from A to is $2^{\mathrm{mn}}$​​​​​​​

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 "MCQ" from RELATIONS AND FUNCTIONS→RELATIONS AND FUNCTIONS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Let $A (1,1), B (-4,3) C (-2,-5)$ be vertices of a triangle $ABC , P$ be a point on side $BC$, and $\Delta_{1}$ and $\Delta_{2}$ be the areas of triangle $APB$ and $ABC$. Respectively.If $\Delta_{1}: \Delta_{2}=4: 7$, then the area enclosed by the lines $AP , AC$ and the $x$-axis is
→
Let $S=\{1,2,3, \ldots, 2022\}$. Then the probability, that a randomly chosen number $n$ from the set $S$ such that $\operatorname{HCF}( n , 2022)=1$, is.
→
The value of $(1+\text{i})(1+\text{i}^2)(1+\text{i}^3)(1+\text{i}^4)$ is
→
A six faced dice is so biased that it is twice as likely to show an even number as an odd number when thrown. It is thrown twice. The probability that the sum of two numbers thrown is even, is
→
Let T(k) be the statement 1 + 3 + 5 + .... + (2k – 1)= k +10 Which of the following is correct:
→
If the coefficients of ${x^7}$ and ${x^8}$ in ${\left( {2 + \frac{x}{3}} \right)^n}$ are equal, then $n$ is
→
If $\text{f}(\text{x})=1-\text{x}+\text{x}^2-\text{x}^3+\dots-\text{x}^{99}+\text{x}^{100},$then f'(1) equals
→
The locus of the mid points of the chords of the hyperbola $\mathrm{x}^{2}-\mathrm{y}^{2}=4$, which touch the parabola $\mathrm{y}^{2}=8 \mathrm{x}$, is :
→
The number of subsets of a set containing n elements is:
→
A company produces on an average 4000 items per month for the first 3 months. How many items it must produce on an average per month over the next 9 months, to average 4375 items per month over the whole?
→