The number of bijective functions from set A to itself when A con… - Vidyadip

Question

The number of bijective functions from set $A$ to itself when $A$ contains 106 elements is

✓

Answer

(c) : The total number of bijections from a set containing $n$ elements to itself is $n$ ! Hence, required number $=(106) !$

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 12 Science question papers→Rajasthan Board STD 12 Science question papers→Rajasthan Board question paper generator→

Similar questions

Let $\text{f}:[2,\infty)\rightarrow\ \text{X}$ be defined by $f(x) = 4x - x^2$. Then, $f$ is invertible if $X =$

Choose the correct answer from the given four options.Solution of the differential equation $\frac{\text{dy}}{\text{dx}}+\frac{\text{y}}{\text{x}}=\sin\text{x}$ is:

$\text{x}(\text{y}+\cos\text{x})=\sin\text{x}+\text{c}$
$\text{x}(\text{y}-\cos\text{x})=\sin\text{x}+\text{c}$
$\text{x}\text{y}\cos\text{x}=\sin\text{x}+\text{c}$
$\text{x}(\text{y}+\cos\text{x})=\cos\text{x}+\text{c}$

Number of triplets (x, y, z) satisfying $ \sin ^{-1}\text{x}+\sin ^{-1}\text{y}+\cos ^{-1}\text{z}=2\pi$ is:

1
0
2
∞

The number of distinct real roots of $\begin{vmatrix}\text{cosec}&\sec\text{x}&\sec\text{x}\\\sec\text{x}&\text{cosec}\text{x}&\sec\text{x}\\\sec\text{x}&\sec\text{x}&\text{cosecx}\end{vmatrix}=0$ lies in the interval $-\frac{\pi}{4}\leq\text{x}\leq\frac{\pi}{4}$ is:

For what value of $x$, matrix $A=\left[\begin{array}{ll}6-x & 4 \\ 3-x & 1\end{array}\right]$ is a singular matrix?

Choose the correct answer from the given four options.
A and B are events such that P(A) = 0.4, P(B) = 0.3 and $\text{P}(\text{A}\cup\text{B})=0.5,$ Then $\text{P}(\text{B}'\cap\text{A})$ equals:

$\frac{2}{3}$
$\frac{1}{2}$
$\frac{3}{10}$
$\frac{1}{5}$

In a regular hexagon ABCDEF, $\overrightarrow{\text{AB}}=\vec{\text{a}},\ \overrightarrow{\text{BC}}=\vec{\text{b}}$ and $\overrightarrow{\text{CD}}=\vec{\text{c}}$. Then, $\overrightarrow{\text{AE}}=$

$\vec{\text{a}}+\vec{\text{b}}+\vec{\text{c}}$
$2\vec{\text{a}}+\vec{\text{b}}+\vec{\text{c}}$
$\vec{\text{b}}+\vec{\text{c}}$
$\vec{\text{a}}+2\vec{\text{b}}+2\vec{\text{c}}$

The law a + b = b + a is called:

Closure law.
Associative law.
Commutative law.
Distributive law.

The solution of $x \frac{d y}{d x}+y=e^x$ is

The sum of the order and the degree of the differential equation $\frac{d}{d x}\left(\frac{d y}{d x}\right)^3$ is