Download App

RELATIONS AND FUNCTIONS — MATHS STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 ScienceMATHSRELATIONS AND FUNCTIONS2 Marks
Question
Let $S = \{a, b, c\}.$ Find the total number of binary operations on $S.$
✓

Answer

Number of binary operations on a set with $n$ elements is $n^2.$
Here, $S = {a, b, c}$
Number of elements in $S = 3$
Number of binary operations on a set with $3$ elements is $3^{3^{2}}=3^9$

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 "2 Marks Questions" 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

Differentiate w.r.t. x the function in Exercise:
$\cos(\text{a}\cos\text{x}+\text{b}\sin\text{x}),\ $ for some constant a and b.
→
Find $\frac{\text{dy}}{\text{dx}},$ when
$\text{x}=\text{a}(1-\cos\theta)\text{ and y}=\text{a}(\theta+\sin\theta)\text{ at }\theta=\frac{\pi}{1}$
→
Find the intervals in which the function $f $ given by $f(x) = 2x^2 – 3x$ is increasing.
→
Differentiate w.r.t. x, the function,$\sqrt{3 x+2}+\frac{1}{\sqrt{2 x^{2}+4}}$
→
If the equations of a line AB are $\frac{3-\text{x}}{1}=\frac{\text{y}+2}{-2}=\frac{\text{z}-5}{4},$ write the direction ratios of a line parallel to AB.
→
Evaluate the following integrals:
$\int\limits^\frac{\pi}{2}_{-\frac{\pi}{2}}\sin^2\text{x}\text{ dx}$
→
Write a value of $\int\cos^4\text{x }\sin\text{x}\text{ dx}$
→
The side of a square is increasing at the rate of 0.1cm/ sec. Find the rate of increase of its perimeter.
→
Write the expression for the area of the parallelogram having $\vec{\text{a}}$ and $\vec{\text{b}}$ as its diagonals.
→
If $\begin{bmatrix}1&-1\\-1&1\end{bmatrix},$ satisfies the matrix equation $A^2 = kA,$ write the value of $k.$
→