Download App

STD 12 - 1. relation and function — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 1. relation and function4 Marks
MCQ
Set $A$ has $3$ elements and set $B$ has $4$ elements. The number of injection that can be defined from $A$ to $B$ is
  • A
    $144$
  • B
    $12$
  • ✓
    $24$
  • D
    $64$
✓

Answer

Correct option: C.
$24$
c
(c) The total number of injective functions from a set $A$ containing $3$ elements to a set $B$ containing $4$ elements is equal to the total number of arrangements of $4$ by taking $3$ at a time $i.e.,$  $^4{P_3} = 24$.

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If the roots of the equation $a{x^2} + bx + c = 0$be $\alpha $and $\beta $, then the roots of the equation $c{x^2} + bx + a = 0$ are
→
The value of $\frac{1 \times 2^2+2 \times 3^2+\ldots+100 \times(101)^2}{1^2 \times 2+2^2 \times 3+\ldots+100^2 \times 101}$ is
→
The sum of all two digit numbers which, when divided by $4$, yield unity as a remainder is 
→
Let $A$ and $B$ be real matrices of the form $\left[ {\begin{array}{*{20}{c}}
\alpha &0\\
0&\beta 
\end{array}} \right]$ and $\left[ {\begin{array}{*{20}{c}}
0&\gamma \\
\delta &0
\end{array}} \right]$, respectively

Statement $1$ : $AB - BA$ is always an invertible matrix

Statement $2$ : $AB -BA$ is never an identity matrix

→
If $x, y, z \in R^+$ are such that $z > y > x > 1$ , ${\log _y}x + {\log _x}y = \frac{5}{2}$ and ${\log _z}y + {\log _y}z = \frac{{10}}{3}$ then ${\log _x}z$ is equal to
→
Differential equation of $y = A{e^{2x}} + B{e^{ - 2x}}$ is (Where $A$ and $B$ are arbitrary constants)
→
Let the area of the region $\left\{(x, y):|2 x-1| \leq y \leq\left|x^2-x\right|, 0 \leq x \leq 1\right\}$ be $A$. Then $(6 A +11)^2$ is equal to $.......$.
→
If $x^2-y^2+2 h x y+2 g x+2 f y+c=0$ is the locus of a point, which moves such that it is always equidistant from the lines $x + 2y + 7 = 0$ and $2x – y + 8 = 0,$ then the value of $g + c + h – f $ equals
→
The height of a right circular cylinder of maximum volume inscribed in a sphere of radius $3$ is
→
$y = 4\sin 3x$ is a solution of the differential equation
→