The number of subsets of {1, 2, 3, ldots, 9} | vedclass

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

Question

(D) The total number of elements in the set $S = \{1, 2, 3, \ldots, 9\}$ is $n = 9$. The total number of subsets of $S$ is $2^n = 2^9 = 512$. $A$ subs

Vedclass · Accepted Answer

$496$

Vedclass · Answer

(D) The total number of elements in the set $S = \{1, 2, 3, \ldots, 9\}$ is $n = 9$. The total number of subsets of $S$ is $2^n = 2^9 = 512$. $A$ subset contains at least one odd number if it is not a subset consisting only of even numbers. The even numbers in the set are $\{2, 4, 6, 8\}$,so there are $4$ even numbers. The number of subsets consisting only of even numbers is $2^4 = 16$. Therefore,the number of subsets containing at least one odd number is $512 - 16 = 496$.

The number of subsets of $\{1, 2, 3, \ldots, 9\}$ containing at least one odd number is

Similar Questions

In the adjoining circuit diagram,the readings of the ammeter and voltmeter are $2 \ A$ and $120 \ V$,respectively. If the value of $R$ is $75 \ \Omega$,then the voltmeter resistance will be (in $\Omega$):

Let $A$ and $B$ be two sets,then:

If the line $y=2x+c$ is a tangent to the circle $x^2+y^2=5$,then a value of $c$ is

Which of the following is a copper-releasing $IUD$?

The $IUPAC$ name for the complex $[Co(NO_2)(NH_3)_5]Cl_2$ is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module