Answer to Question #303571 in Discrete Mathematics for Solomon

Question

What is the cardinality of each of these sets?

a. {a}

b. {{a}}

c. {a,{a}}  

d. {a,{a},{a,{a}}}  

e. {∅,{∅},{∅,{∅}}} 

Answer 1

a. The cardinality of the set {a} is equal to 1;

b. The cardinality of the set {{a}} is equal to 1;

c. The cardinality of the set {a,{a}} is equal to 2;

d. The cardinality of the set {a,{a},{a,{a}}} is equal to 3;

e. The cardinality of the set {∅,{∅},{∅,{∅}}} is equal to 3.