मराठी

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

Advertisements
Advertisements

प्रश्न

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

रिकाम्या जागा भरा
Advertisements

उत्तर

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

Explanation:

A ⊂ B 

⇒ A ∪ B = B

⇒ n(A ∪ B) = n(B)

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Exercise [पृष्ठ १७]

APPEARS IN

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

Identify whether the following set is finite or infinite.

The set of months of a year


Identify whether the following set is finite or infinite.

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


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.


State whether the following set is finite or infinite:

The set of circles passing through the origin (0, 0).


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 concentric circles in a plane


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

{x ∈ N : x > 5}


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

{x ∈ Z : x < 5}; 


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

Every subset of an infinite set is infinite 


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: 

\[a \subset {b, c, a}\] 


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: 

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


State whether the following statements are true or false:

The set {x ; x + 8 = 8} is the null set. 


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 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.


Let A = {ab, {cd}, e}. Which of the following statement are false and why? 

\[a \subset A\]


Let A = {ab, {cd}, e}. Which of the following statement are false and why?

\[\left\{ a, b, e \right\} \subset A\] 


Let \[A = \left\{ \phi, \left\{ \phi \right\}, 1, \left\{ 1, \phi \right\}, 2 \right\}\] Which of the following are true? \[\left\{ 1 \right\} \in A\]

 


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

 


Write down all possible subsets of each of the following set:

\[\left\{ \phi \right\}\]

 

 

 


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 two finite sets, then n(A) + n(B) is equal to ______.


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×