Home
Class 11
MATHS
Check, which of the following is a set :...

Check, which of the following is a set :
(i) A collection of all students in your school
(ii) A collection of 5 best writers of India
(iii) A collection of natural number upto 50
(iv) A collection of all even integers
(v) A collection of first 10 prime numbers
(vi) A collection of dangerous animals of the world.

Text Solution

AI Generated Solution

To determine which of the given collections is a set, we need to check if each collection is well-defined and distinct. A set is defined as a well-defined collection of distinct objects. Let's analyze each option step by step. ### Step-by-Step Solution: 1. **Collection of all students in your school**: - This collection is well-defined because we can clearly identify all the students in the school. - It is also distinct because each student is counted only once. - **Conclusion**: This is a set. ...
Promotional Banner

Topper's Solved these Questions

  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1A|7 Videos
  • SETS

    NAGEEN PRAKASHAN|Exercise Exercise 1B|10 Videos
  • SEQUENCE AND SERIES

    NAGEEN PRAKASHAN|Exercise Miscellaneous Exercise|32 Videos
  • STATISTICS

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|7 Videos

Similar Questions

Explore conceptually related problems

Which of the following collections are sets? (i) The collection of all the oceans in the world (ii) The collection of all poor people in the world (iii) The collection of all multiples of 8 (iv) The collection of all letters of word APPLE .

Which of the following are sets? Justify your answer. (i) The collection of all the months of a year beginning with the letter J. (ii) The collection of ten most talented writers of India. (iii) A team of eleven best–cricket batsmen of the world. (iv) The collection of all boys in your class. (v) The collection of all natural numbers less than 100. (vi) A collection of novels written by the writer Munshi Prem Chand. (vii) The collection of all even integers. (viii) The collection of questions in this Chapter. (ix) A collection of most dangerous animals of the world.

Which of the following collections are sets? Justify your answer: A collection of most dangerous animals of the world.

Which of the following are sets ? (i) A collection of odd numbers (ii) A collection of small flowers in a garden (iii) All four-legged animals at Delhi Zoo.

Which of the following collections represent a set : (i) The collection of women prime ministers of India (ii) The collection of first 5 natural numbers (iii) The collection of intelligent girls of class XI. (iv) The collection of best eleven batsman of the world.

Which of the following are sets? (i) The collection of amazing persons in the world (ii) The collection of all the composite numbers (iii) The collection of all letters of the word INDIAN (iv) The collection of all factors of 32.

Which of the following collections are sets? (i) The collection of honest persons in india (ii) The collection of all prime number between 14 and 50. (iii) The collection of all factor of 24 which are less than 20. (iv) The collection of all the rivers of india.

Which of the following collections are sets? Justify your answer: A collection of all natural numbers less than 50.

Write the following sets in roster set builder form C= collection of all even integers