Home
Class 10
MATHS
List all the subsets of the following se...

List all the subsets of the following sets.
(i) B={p,q} (ii) C={x,y,z} (iii) D={a,b,c,d} (iv) E={1,4,9,16} (v) F={10,100,1000}

Text Solution

Verified by Experts

The correct Answer is:
(i) {p}, {q}, {p,q}, `{phi}`
(ii) `{x}, {y}, {z], {x,y}, {y,z}, {z,x}, {x,y,z}, phi`
(iii) {a}, {b}, {c}, {d}, {a,b}, {b,c}, {c,d}, {a,c}, {a,d}, {b,d}, {b,d}, {a,b,c}, {b,c,d}, {a,b,d}, {a,c,d}, {a,b,c,d}, `phi`
(iv) `phi`, {1}, {4}, {9}, {16}, {1,4}, {1,9}, {1,16}, {4,9}, {4,16}, {9,16}, {1,4,9}, {1,9,16}, {4,9,16}, {1,4,16}, {1,4,9,16}.
(v) `phi`, {10}, {100}, {1000}, {10,100}, {100,1000}, {10,1000}, {10,100,1000}`
Promotional Banner

Topper's Solved these Questions

  • SETS

    NCERT BANGLISH|Exercise Exercise 2.4|2 Videos
  • SETS

    NCERT BANGLISH|Exercise Do This|33 Videos
  • SETS

    NCERT BANGLISH|Exercise Exercise 2.2|7 Videos
  • REAL NUMBERS

    NCERT BANGLISH|Exercise OPTIONAL EXERCISE|5 Videos
  • SIMILAR TRIANGLES

    NCERT BANGLISH|Exercise TRY THIS|6 Videos

Similar Questions

Explore conceptually related problems

In each of the following, state whether A=B or not. (i) A={a,b,c,d} B={d,c,a,b} (ii) A={4,8,12,16} B={8,4,16,18} (iii) A={2,4,6,8,10} B={x : x is a positive even integer and x lt 10} (iv) A={x : x is a multiple of 10} B={10, 15, 20, 25 30...}

Consider the following sets: A = set all rectangles in the same plane B = set all squares in the same plane C = set all parellegrams in the same plane Find the following sets : (i) A-B (ii) C-A (iii) A cap C (iv) B cap C (v) B cup C (Vi ) A cap B cup C

Consider the sets phi, A={1,3}, B={1,5,9}, C={1,3,5,7,9} . Insert the symbol subset or cancel(subset) between each of the following pair of sets. (i) phi ....B (ii) A....B (iii) A.....C (iv) B.....C

A is the set of prime number less than 10, B is the set of odd numbers less than 10 and C is the set of even numbers of less than 10. Which of the following statements are true? (i) A subset B (ii) B subset A (iii) A subset C (iv) C subset A (v) B subset C (vi) phi subset A

Consider the sets φ, A = { 1, 3 }, B = {1, 5, 9}, C = {1, 3, 5, 7, 9} . Insert the symbol ⊂ or ⊄ between each of the following pair of sets: (i) φ . . . B (ii) A . . . B (iii) A . . . C (iv) B . . . C

If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets : A = {a, b, c}

If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets : C = {a, c, e, g}

If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets : D = { f, g, h, a}

If U = { a, b, c, d, e, f, g, h} , find the complements of the following sets : B = {d, e, f, g}

If A={a,b,c,d}. How many subsets does the set A have? (A) 5 (B) 6 (C) 16 (D) 65