COMEDK · Maths · 20. Sets and Relations
If \(n(A)=2\) and \(n(B)=3\) then number of relation from set \(A\) to the set \(B\) is
- A 9
- B 32
- C 64
- D 128
Answer & Solution
Correct Answer
(C) 64
Step-by-step Solution
Detailed explanation
If \(n(A)=p\) and \(n(B)=q\) Then number of relation from set \((A)\) to set \((B)\) is \(2^{p q}\). \(\Rightarrow\) Number of relation \(=2^{2 \times 3}\) \(=2^6=64\)
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- The approximate value of \((0.007)^{1 / 3}\) isCOMEDK 2022 Easy
- Solution of the differential equation \(y \dfrac{d y}{d x}+x=0\) represents a family ofCOMEDK 2025 Easy
- If \(\frac{3 x^{2}-2 x+4}{(x-1)^{6}}=\frac{A_{1}}{x+1}+\frac{A_{2}}{(x+1)^{2}}+\frac{A_{3}}{(x+1)^{3}}\) \(+\frac{A_{4}}{(x+1)^{4}}+\frac{A_{5}}{(x+1)^{5}}+\frac{A_{6}}{(x+1)^{6}}\), then \(\left(A_{1}+A_{2}+A_{2}-A_{4}-A_{6}\right)=\)COMEDK 2018 Hard
- Two numbers are selected at random from integers 1 to 9 .
If their sum is even, what is the probability that both the numbers are odd?COMEDK 2025 Medium - \(\frac{\sin x-\sin 3 x}{\sin ^{2} x-\cos ^{2} x}\) is equal toCOMEDK 2015 Medium
- Set \(A=\{x: x\) is a prime number less than 4\(\}\)
\(B=\left\{x: x^2-7 x-18=0, x \in R\right\}\)
Then set \(A\) and \(B\) areCOMEDK 2025 Medium
More PYQs from COMEDK
- Rank the following compounds in order of increasing basicity.
COMEDK 2023 Medium - Enthalpy of formation of \(\mathrm{HF}\) and \(\mathrm{HCl}\) are \(-161 \mathrm{~kJ}\) and \(-92 \mathrm{~kJ}\) respectively. Which of the following statements is incorrect?COMEDK 2013 Medium
- An object is placed at a distance of \(12 \mathrm{~cm}\) from a convex lens on its principal axis and a virtual image of certain size is formed. If the object is moved \(4 \mathrm{~cm}\) away from the lens, a real image of the same size as that of the virtual image is formed. The focal length of the lens in \(\mathrm{cm}\) isCOMEDK 2024 Medium
- Total number of isomeric xylenes or dichlorobenzenes or cresols isCOMEDK 2024 Easy
- In Young's double slit experiment, the ratio of maximum and minimum intensities in the fringe system is \(9: 1\). The ratio of amplitudes of coherent sources isCOMEDK 2023 Medium
- In a game, a man wins ₹ 1000 if he gets an even number greater than or equal to 4 on a fair dice and loses ₹ 200 for getting any other number on the dice. If he decides to throw the dice until he wins or maximum of three times, then his expected gain/loss in (₹) is --COMEDK 2025 Medium