If a set A has n elements, then the total number of subsets of A is Options: A . &nbspn B . &nbspn2 C . &nbsp2n D . &nbsp2n

If a set A has n elements, then the total number of subsets of A is &

Question

If a set A has n elements, then the total number of subsets of A is

Options:

A . n

B . n2

C . 2n

D . 2n

Answer: Option C
:
C
Number of subsets of A =

^{n} C_{0}

^{n} C_{1}

+ .............+

^{n} C_{n}

2^{n}

Was this answer helpful ?

Next Question

Question 1. If A = [ x:x is a multiple of 3] and B = [x:x is a multiple of 5] , then A - B is (¯A means complement of A)....

Question 2. If n(∪)=700, n(A)=200, n(B)=300 and n(A∩B)=100, then n(A′∩B′)= ___.....

Question 3. In a city 20 percent of the population travels by car, 50 percent travels by bus and 10 percent travels by both car....the percentage of population travelling by car or bus is

Question 4. If X = {8n−7n−1:n∈N} and Y={49(n−1):n∈N} , then ....

Question 5. If X = {4n - 3n - 1 : n ∈ N} and Y = { 9(n-1) : n ∈ N}, then X ∪ Y is equal to....{ 9(n-1) : n ∈ N}, then X ∪ Y is equal to

Question 6. In a committee 50 people speak French, 20 speak Spanish and 10 speak both Spanish and French. The number of persons spea....persons speaking at least one of these two languages is

Question 7. If Na={an:n∈N} , then N3∩N4 = ....

Question 8. Let n(U) = 700, n(A) = 200, n(B) = 300 and n(A ∩ B) = 100, Then n(Ac∩Bc) =....

Question 9. If the sets A and B are defined as A = {(x, y) : y = ex, x ∈ R}; B = {(x, y) : y = x, x ∈ ....= {(x, y) : y = x, x ∈ R}, then

Question 10. If A = [(x,y): x2+y2=25] And B = [(x,y): x2+9y2=144], then A∩B contains....

Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)

Direction Sense Test Part 1 Reasoning (Hindi)

Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE

Cube & Cuboid Part 1 Reasoning (Hindi)

Data Interpretation (DI) Basic Concept Reasoning (Hindi)

Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)

Sail E0 free webinar Webinars

Real Numbers Part 7 Class 10 Maths

Real Numbers Part 1 Class 10 Maths

Polynomials Part 1 Class 10 Maths

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI

Tabulation - Test Paper 2 Data Interpretation Reasoning & DI

Test Paper 1 Direction Sense Test Reasoning & DI

ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0

GFM Combined 1 Free Revision Test SAIL JO E-0