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8. Two marks exercise problems V

2 m.

Write down the power set of the following sets.

(i) $A = \{a, b\}$

(ii) $B = \{1, 2, 3\}$

$P(B)$ $=$ $\{\phi, \{1\}, \{2\}, \{3\}, \{1, 2\}, \{2, 3\}, \{1, 3\}, \{1, 2, 3\}\}$
$P(B)$ $=$ $\{\phi, \{1\}, \{2\}, \{3\}, \{1, 2\}, \{2, 3\}, \{1, 3\}\}$
$P(B)$ $=$ $\{\{1\}, \{2\}, \{3\}, \{1, 2\}, \{2, 3\}, \{1, 3\}, \{1, 2, 3\}\}$
$P(B)$ $=$ $\{\phi, \{1\}, \{2\}, \{3\}, \{1, 2\}, \{2, 3\}, \{1, 2, 3\}\}$

(iii) $D = \{p, q, r, s\}$

$P(D)$ $=$ $\{\phi, \{p\}, \{q\}, \{r\}, \{s\}, \{p, q\}, \{p, r\}, \{p, s\}, \{q, r\}, \{q, s\}, \{r, s\}, \{p, q, r\}, \{p, r, s\}, \{q, r, s\}\}$
$P (D) = \{ϕ,{p},{q},{r},{s},{p, q},{p, r},{p, s},{q, r},{q, s},{r, s},{p, q, r},{p, r, s},{q, r, s},{p, q, r, s}\}$
$P(D)$ $=$ $\{\phi, \{p\}, \{q\}, \{r\}, \{s\}, \{p, q\}, \{p, r\}, \{p, s\}, \{q, r\}, \{p, q, r\}, \{p, r, s\}, \{q, r, s\}, \{p, q, r, s\}\}$
$P(D)$ $=$ $\{\phi, \{p\}, \{q\}, \{r\}, \{s\}, \{p, q\}, \{p, r\}, \{p, s\}, \{q, r\}, \{q, s\}, \{r, s\}, \{p, q, r\}, \{q, r, s\}, \{p, q, r, s\}\}$

(iv) $E = \phi$

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