15.5. Cardinality of a Set

Try these first

1. 1.

   What is the cardinality of the set E = {x, y, z}?

   Hint

   Count the elements in the set.

2. 2.

   Is the empty set ∅ finite or infinite?

   Hint

   Remember, it has no elements.

3. 3.

   What is the cardinality of the set G = {a, b, c, d}?

   • 2
   • 4
   • 3

   Hint

   Count the distinct elements.

4. 4.

   Is the cardinality of the power set of {m, n} equal to 3?

   • True
   • False

   Hint

   Use the formula 2^n.

5. 5.

   Given a set of prime numbers less than 20, find its cardinality, the power set, and the cardinality of that power set.

   Hint

   Identify the primes and apply the power set formula.

6. 6.

   Analyze the set T = {a, b, c, d}. If you take away one element, what will be the new power set and its cardinality?

   Hint

   Calculate based on the reduced number of elements.