Practice the set of questions given in the worksheet on cardinal number of a set. The question are based on finding the cardinal number of a set.
1. Write the cardinal number of each of the following sets:
(i) A = {0, 1, 2, 4}
(ii) B = {3, 1, 1, 3, 5, 7}
(iii) C = { }
(iv) D = {3, 2, 2, 1, 3, 1, 2}
(v) E = {Natural numbers between 15 and 20}
(vi) F = {whole numbers from 8 to 14}
2. Given: A =
{Natural numbers less than 10}
B = {Letters of the word ‘PUPPET’}
C = {Squares of first four whole numbers}
D = {Odd numbers divisible by 2}
Find:
(i) n(A)
(ii) n(B)
(iii) n(C)
(iv) n(D)
(v) A ∪ B and n(A ∪ B)
(vi) A ∩ C and n(A ∩ C)
(vii) n(B ∪ D)
(viii) n(C ∩ D)
(ix) n(B ∪ C)
(x) n(A ∪ D)
3. Given: M = Set of letters in the word ‘ALLAHABAD’ and N = Empty set.
Find:
(i) n(M)
(ii) n(N)
(iii) n(M ∪ N)
(iv) n(M ∩ N)
(v) Is n(M) = n(M ∩ N)?
(vi) Is n(N) = n(M ∪ N)?
(vii) Is n(M) = n(M ∪ N)?
4. If A = {4, 8, 12, 16, 20}, B = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20} and C = {a, b, c, d, e}.
State, true or false:
(i) n(A) = n(C)
(ii) n(A) = n(B)
(iii) n(B)  n(C) = n(A)
(iv) n(B) = 2 ∙ n(C)
`Answers for the worksheet on cardinal number of a set are given below to check the exact answers of the above questions on cardinal number.
Answers:
1. (i) 4
(ii) 6
(iii) 0
(iv) 3
(v) 4
(vi) 7
2. (i) 9
(ii) 4
(iii) 4
(iv) 0
(v) {1, 2, 3, 4, 5, 6, 7, 8, 9, p, u, e, t}; 13
(vi) {1, 4, 9}; 3
(vii) 4
(viii) 0
(ix) 8
(x) 9
3. (i) 5
(ii) 0
(iii) 5
(iv) 0
(v) No, n(M) ≠ n(M ∩ N)
(vi) No, n(N) ≠ n(M ∪ N)
(vii) Yes, n(M) = n(M ∪ N)
4. (i) True
(ii) False
(iii) True
(iv) True
`● Sets and Venndiagrams Worksheets
● Worksheet on Elements Form a Set
● Worksheet to Find the Elements of Sets
● Worksheet on Properties of a Set
● Worksheet on Sets in Roster Form
● Worksheet on Sets in Setbuilder Form
● Worksheet on Finite and Infinite Sets
● Worksheet on Equal Sets and Equivalent Sets
● Worksheet on Union and Intersection of Sets
● Worksheet on Disjoint Sets and Overlapping Sets
● Worksheet on Difference of Two Sets
● Worksheet on Operation on Sets
● Worksheet on Cardinal Number of a Set
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