Grotznak

Hausaufgabe Diskrete Strukturen

von Maximilian Deutsch Ausgabe am: 21.10.05

• Aufgabe 1.1

A = { a, 23, 4}

B = { a, $\delta$ 2, 3, 42}

C = { $\alpha$, $\in$, 2, 3}

D = B $\cap$ ( A $\cup$ C )

E = D $\cap$ ( A $\cap$ B )

F = E $\cup$ ( A \ C )

G = F $\cap$ ( A $\cup$ B )

D in E in F in G

G = ((( B $\cap$ ( A $\cup$ C )) $\cap$ ( A $\cap$ B ) ) $\cup$ ( A \ C ) ) $\cap$ ( A $\cup$ B )

( A $\cup$ C ) = { a, $\alpha$, $\in$, 2, 3, 23, 42 }

( A $\cap$ C ) = { a, 42 }

( A \ C ) = { 23, 42 }

( A $\cup$ B ) = { a, $\delta$, 2, 3, 23, 42 }

D = B $\cap$ ( A $\cup$ C ) = { a, 2, 3, 42 }

E = D $\cap$ ( A $\cap$ B ) = { a, 42 }

F = E $\cup$ ( A \ C ) = { a, 23, 42 }

G = F $\cap$ ( A $\cup$ B ) = { a, 23, 42 }

|P(G)| = 2³ = 8