हिंदी

State whether the following set is finite or infinite: The set of letters in the English alphabet. - Mathematics

Advertisements
Advertisements

प्रश्न

State whether the following set is finite or infinite:

The set of letters in the English alphabet.

एक पंक्ति में उत्तर
Advertisements

उत्तर

The set of letters in the English alphabet is a finite set because there are 26 letters in the English alphabet.

shaalaa.com
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 1: Sets - Exercise 1.2 [पृष्ठ ८]

APPEARS IN

एनसीईआरटी Mathematics [English] Class 11
अध्याय 1 Sets
Exercise 1.2 | Q 3.2 | पृष्ठ ८

वीडियो ट्यूटोरियलVIEW ALL [1]

संबंधित प्रश्न

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 numbers which are multiple of 5.


State whether the following set is finite or infinite:

The set of animals living on the earth.


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? 

 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 statements are true? Give reason to support your answer.
(i) For any two sets A and B either \[A \subseteq B o\text{ or } B \subseteq A;\]


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. 

Every subset of a finite set is finite


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: 

\[a \subset {b, c, a}\] 


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: 

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


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

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

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


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

\[a \subset A\]


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

 


In a class of 175 students the following data shows the number of students opting one or more subjects. Mathematics 100; Physics 70; Chemistry 40; Mathematics and Physics 30; Mathematics and Chemistry 28; Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone? 


Suppose \[A_1 , A_2 , . . . , A_{30}\] are thirty sets each having 5 elements and \[B_1 , B_2 , . . . , B_n\] are n sets each with 3 elements. Let \[\cup^{30}_{i = 1} A_i = \cup^n_{j = 1} B_j = S\] and each element of S belong to exactly 10 of the \[A_i 's\]and exactly 9 of the\[B_j 's\] then n is equal to 


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 ______.


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


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


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×