Find the power set of A = {{a, b}, c}. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(D) Let $A = \{\{a, b\}, c\}$.To determine the power set $P(A)$,we note that the set $A$ contains two elements: $x = \{a, b\}$ and $y = c$.The number

Vedclass · Accepted Answer

None of these

Vedclass · Answer

(D) Let $A = \{\{a, b\}, c\}$.To determine the power set $P(A)$,we note that the set $A$ contains two elements: $x = \{a, b\}$ and $y = c$.The number of elements in the power set $P(A)$ is given by $2^n$,where $n$ is the number of elements in $A$.Here,$n = 2$,so $P(A)$ will contain $2^2 = 4$ elements.The elements of the power set $P(A)$ are the subsets of $A$,which are:$1$. The empty set: $\phi$$2$. The set containing the first element: $\{\{a, b\}\}$$3$. The set containing the second element: $\{c\}$$4$. The set $A$ itself: $\{\{a, b\}, c\}$Therefore,$P(A) = \{\phi, \{\{a, b\}\}, \{c\}, A\}$.

Find the power set of $A = \{\{a, b\}, c\}$.

Similar Questions

In a city $20$ percent of the population travels by car,$50$ percent travels by bus and $10$ percent travels by both car and bus. Then the percentage of persons travelling by car or bus is......$\%$.

If $A = \{x, y\}$,then the power set of $A$ is

Which of the following sets is non-empty?

Which of the following sets is finite?

Let $X = \{ 1, 2, 3, 4, 5 \}$ and $Y = \{ 1, 3, 5, 7, 9 \}$. Which of the following is/are relations from $X$ to $Y$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module