The number of proper subsets of the set {1, 2 | vedclass

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

Question

(C) The number of elements in the set $A = \{1, 2, 3\}$ is $n = 3$.The total number of subsets of a set with $n$ elements is given by $2^n$.Here,the t

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(C) The number of elements in the set $A = \{1, 2, 3\}$ is $n = 3$.The total number of subsets of a set with $n$ elements is given by $2^n$.Here,the total number of subsets is $2^3 = 8$.$A$ proper subset is any subset of a set except the set itself.Therefore,the number of proper subsets is $2^n - 1$.Number of proper subsets $= 2^3 - 1 = 8 - 1 = 7$.

The number of proper subsets of the set $\{1, 2, 3\}$ is

Similar Questions

Is it true that for any sets $A$ and $B$,$P(A) \cup P(B) = P(A \cup B)$? Justify your answer.

Write the set builder form of the set $ A = \{-1, 1\} $.

Which of the following is a set? Justify your answer.
The collection of all even integers.

Let $P$ and $T$ be the subsets of the $xy$-plane defined by $P = \{(x, y) : x > 0, y > 0 \text{ and } x^2 + y^2 = 1\}$ and $T = \{(x, y) : x > 0, y > 0 \text{ and } x^8 + y^8 < 1\}$. Then,$P \cap T$ is

Which of the following sets is a subset of all other sets?

Vedclass Test Series

Exam Paper Generator

Online Exam Module