How many elements does $P(A)$ have,if $A = \varnothing$?
- A$0$
- B$1$
- C$2$
- D$4$
Explore More
Similar Questions
The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is
Easy
View SolutionMatch each of the set on the left in the roster form with the same set on the right described in set-builder form:
$(i)$ $\{1, 2, 3, 6\}$ $(a)$ $\{x : x \text{ is a prime number and a divisor of } 6\}$ $(ii)$ $\{2, 3\}$ $(b)$ $\{x : x \text{ is an odd natural number less than } 10\}$ $(iii)$ $\{M, A, T, H, E, I, C, S\}$ $(c)$ $\{x : x \text{ is a natural number and divisor of } 6\}$ $(iv)$ $\{1, 3, 5, 7, 9\}$ $(d)$ $\{x : x \text{ is a letter of the word } MATHEMATICS\}$
| $(i)$ $\{1, 2, 3, 6\}$ | $(a)$ $\{x : x \text{ is a prime number and a divisor of } 6\}$ |
| $(ii)$ $\{2, 3\}$ | $(b)$ $\{x : x \text{ is an odd natural number less than } 10\}$ |
| $(iii)$ $\{M, A, T, H, E, I, C, S\}$ | $(c)$ $\{x : x \text{ is a natural number and divisor of } 6\}$ |
| $(iv)$ $\{1, 3, 5, 7, 9\}$ | $(d)$ $\{x : x \text{ is a letter of the word } MATHEMATICS\}$ |
Medium
View SolutionLet $A = \{1, 2, \{3, 4\}, 5\}$. Which of the following statements is incorrect and why?
${1, 2, 3} \subset A$
${1, 2, 3} \subset A$
Easy
View SolutionFor an integer $n$,let $S_n = \{n+1, n+2, \ldots, n+18\}$. Which of the following is true for all $n \geq 10$?
DifficultKVPY 2013
View SolutionIf $Q = \{x : x = \frac{1}{y}, y \in N\}$,then which of the following is true?
Easy
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo