i. A∩B={1,5}
ii. A∪B={1,2,3,5,6,7,8}
∣A∪B=∣=7
iii. P(A∩B)=P({1,5})={∅,{1},{5},{1,5}} P(A∩B)
iv.
P(A)=P({1,2,3,5,7})={∅,{1},{2},{3},{5},{7},{1,2},{1,3},{1,5},
{1,7},{2,3},{2,5},{2,7},{3,5},{3,7},{5,7},
{1,2,3},{1,2,5},{1,2,7},{1,3,5},{1,3,7},
{1,5,7},{2,3,5},{2,3,7},{2,5,7},{3,5,7},
{1,2,3,5},{1,2,3,7},{1,2,5,7},{1,3,5,7},
{2,3,5,7},{1,2,3,5,7}}
P(B)=P({1,5,6,8})={∅,{1},{5},{6},{8},{1,5},{1,6},{1,8},
{5,6},{5,8},{6,8},{1,5,6},{1,5,8},{1,6,8},
{5,6,8},{1,5,6,8}}
v.
∣P(A)∣=25=32
∣P(B)∣=24=16
vi.
A×B={(1,1),(1,5),(1,6),(1,8),(2,1),(2,5),(2,6),(2,8),(3,1),(3,5),(3,6),(3,8),
(5,1),(5,5),(5,6),(5,8),(7,1),(7,5),(7,6),(7,8)}
vii.
∣A∣=5,∣B∣=4
∣A×B∣=5(4)=20