मराठी

Write down all the subsets of the following set: {1, 2, 3} - Mathematics

Advertisements
Advertisements

प्रश्न

Write down all the subsets of the following set:

{1, 2, 3}

बेरीज

उत्तर

Number of elements in given set = 3

Number of subsets of given set = 23 = 8

∴ Subsets of the given set are Φ, {1}, {2}, {3}, {1, 2}, {2, 3}, {1, 3}, {1, 2, 3}.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Sets - Exercise 1.3 [पृष्ठ १३]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
पाठ 1 Sets
Exercise 1.3 | Q 4.3 | पृष्ठ १३

व्हिडिओ ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्‍न

{a} ⊂ {a. b, c}


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ⊂ A


Write down all the subsets of the following set:

{a}


Write the following as intervals: {x : x ∈ R, 0 ≤ x < 7}


Write the given intervals in set-builder form:

(–3, 0)


Write the following interval in set-builder form:

[–23, 5)


Decide, among the following sets, which sets are subsets of one and another:

A = {x : x ∈ R and x satisfy x2 – 8x + 12 = 0},

B = {2, 4, 6}, C = {2, 4, 6, 8, …}, D = {6}.


Determine whether the statement is true or false. If it is true, prove it. If it is false, give an example.

If x ∈ A and A ∈ B, then x ∈ B


Let A = {x : x ∈ Nx is a multiple of 3} and B = {x : x ∈ N and x is a multiple of 5}. Write \[A \cap B\] 


Let A and B be two sets having 3 and 6 elements respectively. Write the minimum number of elements that \[A \cup B\] 


If A = {x ∈ C : x2 = 1} and B = {x ∈ C : x4 = 1}, then write A − B and B − A


If \[A = \left\{ \left( x, y \right) : y = e^x , x \in R \right\} and B = \left\{ \left( x, y \right) : y = e^{- x} , x \in R \right\}\]write\[A \cap B\] 


If A and B are two sets such that \[n \left( A \right) = 20, n \left( B \right) = 25\]\text{ and } \[n \left( A \cup B \right) = 40\], then write \[n \left( A \cap B \right)\] 


The number of subsets of a set containing n elements is 


For any two sets A and B,\[A \cap \left( A \cup B \right) =\]


If A = {1, 3, 5, B} and B = {2, 4}, then 


In set-builder method the null set is represented by


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{a, b, c} _____ {b, c, d}


Make correct statement by filling in the symbols ⊂ or ⊄ in the blank space:

{x : x is an equilateral triangle in a plane} _____ {x : x is a triangle in the same plane}


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{3, 4} ∈ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{1, 2, 5} ⊂ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

Φ ⊂ A


Let A = {1, 2, {3, 4}, 5}. The following statement is correct or incorrect and why?

{Φ} ⊂ A


Write down all the subsets of the following set:

{a, b}


Write down all the subsets of the following set:

Φ


State true or false for the following statement given below:

Q ∩ R = Q, where Q is the set of rational numbers and R is the set of real numbers.


Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose elements are even numbers.


If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n – 1


If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a + 1 = 6, a ∈ Y


If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a is less than 6 and a ∈ Y


Suppose A1, A2, ..., A30 are thirty sets each having 5 elements and B1, B2, ..., Bn are n sets each with 3 elements, let \[\bigcup\limits_{i=1}^{30} A_{i} = \bigcup\limits_{j=1}^{n} B_{j}\] = and each element of S belongs to exactly 10 of the Ai’s and exactly 9 of the B,’S. then n is equal to ______.


If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×