The number of non-empty subsets of the set {1 | vedclass

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

Question

(A) The number of elements in the set $A = \{1, 2, 3, 4\}$ is $n = 4$.The total number of subsets of a set with $n$ elements is given by the formula $

Vedclass · Accepted Answer

$15$

Vedclass · Answer

(A) The number of elements in the set $A = \{1, 2, 3, 4\}$ is $n = 4$.The total number of subsets of a set with $n$ elements is given by the formula $2^n$.Therefore,the total number of subsets of $A$ is $2^4 = 16$.The number of non-empty subsets is the total number of subsets minus the empty set (null set).Number of non-empty subsets $= 2^n - 1 = 16 - 1 = 15$.

The number of non-empty subsets of the set $\{1, 2, 3, 4\}$ is:

Similar Questions

According to the kinetic theory of gases,when two molecules of gas collide with each other,then:

The $Adaptation$ of eyes in the dark is due to

Polysaccharides have .............. linkage?

Which sugar is represented by the structural formula shown below?

$\log _4 2 - \log _8 2 + \log _{16} 2 - \dots$ is equal to

Vedclass Test Series

Exam Paper Generator

Online Exam Module