Cartesian Product And Cardinality
Q1: What is the Cartesian product of sets A={1,2} and B= {x,y} ?
{1x,2y}\{1x, 2y\}
{(1,x),(1,y),(2,x),(2,y)}
{1+x,2+y}
None of the above
Q2: If A×B=B×AA , what does this imply about sets AAA and BBB?
A⊂BA
A=BA = BA=B
A≠BA
No implication
Q3: What is the Cartesian product of a set AAA with itself called?
Self-product
Reflexive product
Cartesian square
Power set
Q4: If ∣A∣=3|A| = 3∣A∣=3 and ∣B∣=2|B| = 2∣B∣=2, what is ∣A×B∣|A \times B|∣A×B∣?
2
3
5
6
Q5: The Cartesian product of sets AAA and BBB results in:
A set of pairs
A subset of AAA
An intersection of AAA and BBB
A union of AAA and BBB
Q6: What is the cardinality of a set A={2,4,6} ?
2
3
4
6
Q7: How many subsets does a set with 4 elements have?
8
12
16
24
Q8: What is the power set of {a,b}?
{{a},{b}}
{∅,{a},{b},{a,b}}
{∅,a,b}
{{a,b}}