Q. 53.9( 28 Votes )

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Answer :

We know that every set is subset of itself.


(i) B = {p, q}


There are 22 = 4 subsets.


Subsets: {p}, {q}, {p, q}, ϕ


(ii) C = {x, y, z}


There are 23 = 8 subsets.


Subsets: {x}, {y}, {z}, {x, y}, {y, z}, {x, z}, {x, y, z}, ϕ


(iii) D = {a, b, c, d}


There are 24 = 16 subsets.


Subsets: {a}, {b}, {c}, {d}, {a, b}, {b, c}, {c, d}, {d, a}, {a, c}, {b, d}, {a, b, c}, {b, c, d}, {c, d, a}, {a, b, d}, {a, b, c, d}, ϕ


(iv) E = {1, 4, 9, 16}


There are 24 = 16 subsets.


Subsets: {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}, ϕ


(v) F = {10, 100, 1000}


There are 23 = 8 subsets.


Subsets: {10}, {100}, {1000}, {10, 100}, {10, 1000}, {100, 1000}, {10, 100, 1000}, ϕ


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