Write down all possible subsets of each of the following sets:

Question:

Write down all possible subsets of each of the following sets:

(i) $\{a\}$,

(ii) $\{0,1\}$,

(iii) $\{a, b, c\}$,

(iv) $\{1,\{1\}\}$

(v) $\{\phi\}$.

Solution:

(i) $\phi,\{a\}$

(ii) $\phi,\{0\},\{1\},\{0,1\}$

(iii) $\phi,\{\mathrm{a}\},\{\mathrm{b}\},\{\mathrm{c}\},\{\mathrm{a}, \mathrm{b}\},\{\mathrm{b}, \mathrm{c}\},\{\mathrm{a}, \mathrm{c}\},\{\mathrm{a}, \mathrm{b}, \mathrm{c}\}$

(iv) $\phi,\{1\},\{\{1\}\},\{1,\{1\}\}$

(v) $\phi,\{\phi\}$

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