मराठी

If A is a finite set containing n element, then number of subsets of A is ______. - Mathematics

Advertisements
Advertisements

प्रश्न

If A is a finite set containing n element, then number of subsets of A is ______.

रिकाम्या जागा भरा
Advertisements

उत्तर

If A is a finite set containing n element, then number of subsets of A is 2n.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Solved Examples [पृष्ठ १२]

APPEARS IN

एनसीईआरटी एक्झांप्लर Mathematics [English] Class 11
पाठ 1 Sets
Solved Examples | Q 18 | पृष्ठ १२

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Identify whether the following set is finite or infinite.

{1, 2, 3, ... 99, 100}


Identify whether the following set is finite or infinite.

The set of positive integers greater than 100.


Identify whether the following set is finite or infinite.

The set of prime numbers less than 99.


State whether the following set is finite or infinite:

The set of lines which are parallel to the x-axis.


State whether the following set is finite or infinite:

The set of numbers which are multiple of 5.


Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = Φ.


Which of the following sets are finite and which are infinite? 

 Set of letters of the English Alphabets 


Which of the following sets are finite and which are infinite? 

 {x = ∈ N : x < 200}


Which of the following sets are finite and which are infinite?

{x ∈ Z : x < 5}; 


Which of the following sets are finite and which are infinite? 

 {x ∈ R : 0 < x < 1}.


Which of the following statements are true? Give reason to support your answer. 

Every subset of a finite set is finite


Which of the following statements are true? Give reason to support your answer. 

Every set has a proper subset


Which of the following statements are true? Give reason to support your answer. 

{ababab, ...} is an infinite set


Which of the following statements are true? Give reason to support your answer. 

 {abc} and {1, 2, 3} are equivalent sets 


State whether the following statements are true or false: 

\[1 \in \left\{ 1, 2, 3 \right\}\]


State whether the following statements are true or false: 

\[\left\{ a \right\} \in \left\{ a, b, c \right\}\]


State whether the following statements are true or false: 

\[\left\{ a, b \right\} = \left\{ a, a, b, b, a \right\}\] 


Decide among the following sets, which are subsets of which:

\[A = {x : x \text{ satisfies } x^2 - 8x + 12 = 0},\]

\[B = \left\{ 2, 4, 6 \right\}, C = \left\{ 2, 4, 6, 8, . . . \right\}, D = \left\{ 6 \right\} .\]


Write which of the following statements are true? Justify your answer. 

The set of all integers is contained in the set of all set of all rational numbers. 


Write which of the following statement are true? Justify your answer. 

The set of all crows is contained in the set of all birds. 


Write which of the following statement are true? Justify your answer. 

 The set of all rectangle is contained in the set of all squares.


Write which of the following statement are true? Justify your answer.

 The set of all real numbers is contained in the set of all complex numbers.

 


Write which of the following statement are true? Justify your answer.

The sets P = {a} and B = {{a}} are equal.


Write which of the following statement are true? Justify your answer. 

The sets A = {x : x is a letter of the word "LITTLE"} and,B = {x : x is a letter of the word "TITLE"} are equal. 


Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\]Which of the following are true?\[\left\{ 2 \left\{ 1 \right\} \right\} \not\subset A\] 

 


Two finite sets have m and n elements. The number of elements in the power set of first set is 48 more than the total number of elements in power set of the second set. Then, the values of m and n are: 


Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second. The values of m and n are respectively


Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are ______.


If A and B are finite sets such that A ⊂ B, then n (A ∪ B) = ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×