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UPSKILL MATH PLUS

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Subjects
Mathematics State Board
Class 9
Set Language
Types of Sets

8. Two marks exercise problems V

Exercise condition:

2 m.

Write down the power set of the following sets.

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

\(P(A)\) \(=\) \(\{\{a\}, \{b\}, \{a, b\}\}\)
\(P(A)\) \(=\) \(\{\phi, \{a, b\}\}\)
\(P(A)\) \(=\) \(\{\phi, \{a\}, \{b\}, \{a, b\}\}\)
\(P(A)\) \(=\) \(\{\phi, \{a\}, \{b\}\}\)

(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) \(E = \phi\)

\(P(E) = \{\phi, \phi\}\)
\(P(E) = \{\phi\}\)
\(P(E) = \{\{\}, \{\}\}\)
\(P(E) = \{\phi, \{\}\}\)

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