Set A has 3 elements and set B has 4 elements. number of injection that can be defined from A to B i

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1.Relation and Function

easy

Set $A$ has $3$ elements and set $B$ has $4$ elements. The number of injection that can be defined from $A$ to $B$ is

$144$

$12$

$24$

$64$

Solution

(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 $i.e.,$ $^4{P_3} = 24$.

Standard 12

Mathematics

Domain of $f (x)$ = $\sqrt {{{\log }_2}\left( {\frac{{10x – 4}}{{4 – {x^2}}}} \right) – 1} $ , is

normal

If $y = 3[x] + 1 = 4[x -1] -10$, then $[x + 2y]$ is equal to (where $[.]$ is $G.I.F.$)

normal

If $x \in [0, 1]$, then the number of solution $(s)$ of the equation $2[cos^{-1}x] + 6[sgn(sinx)] = 3$ is (where $[.]$ denotes greatest integer function and sgn $(x)$ denotes signum function of $x$)-

normal

If $f(x) = \sin \log x$, then the value of $f(xy) + f\left( {\frac{x}{y}} \right) – 2f(x).\cos \log y$ is equal to

medium

Which of the following is function

normal

Set $A$ has $3$ elements and set $B$ has $4$ elements. The number of injection that can be defined from $A$ to $B$ is

Solution

Similar Questions

Domain of $f (x)$ = $\sqrt {{{\log }_2}\left( {\frac{{10x – 4}}{{4 – {x^2}}}} \right) – 1} $ , is

If $y = 3[x] + 1 = 4[x -1] -10$, then $[x + 2y]$ is equal to (where $[.]$ is $G.I.F.$)

If $x \in [0, 1]$, then the number of solution $(s)$ of the equation $2[cos^{-1}x] + 6[sgn(sinx)] = 3$ is (where $[.]$ denotes greatest integer function and sgn $(x)$ denotes signum function of $x$)-

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