The number of subsets of A = {1, 2, 3,4} is _____.
8
16
15
7
The number of subsets of a set having 'n' elements = 2n
A = {1, 2, 3,4}
n(A) = 4
Number of proper subsets of A = 24=16.
Let A={1,{2},{3,4},5}. Which of the following are incorrect statements? Rectify each:
(i) 2ϵA
(ii) {2}⊂A
(iii) {1,2}⊂A
(iv) {3,4}⊂A
(v) {1,5}⊂A
(vi) {ϕ}⊂A
(vii) 1⊂A
(viii) {1,2,3,4}⊂A
Let A = {1, 2, {3, 4}, 5}. Which of the following statements are incorrect and why?
(i) {3, 4} ⊂ A (ii) {3, 4} ∈ A
(iii) {{3, 4}} ⊂ A (iv) 1∈A
(v) 1⊂A (vi) {1, 2, 5} ⊂ A
(vii) {1, 2, 5} ∈ A (viii) {1, 2, 3} ⊂ A
(ix) Φ∈A (x) Φ⊂A
(xi) {Φ} ⊂ A.
Let A= {1, 2, {3, 4,}, 5}. Which of the following statements are incorrect and why?
(i) {3, 4}⊂ A
(ii) {3, 4}}∈ A
(iii) {{3, 4}}⊂ A
(iv) 1∈ A
(v) 1⊂ A
(vi) {1, 2, 5} ⊂ A
(vii) {1, 2, 5} ∈ A
(viii) {1, 2, 3} ⊂ A
(ix) Φ ∈ A
(x) Φ ⊂ A
(xi) {Φ} ⊂ A