Counting and Cardinality

It is a collection of well-defined group of objects.

• Element

• Set

• Cardinality

• Universal Set

1. Which best describe the set

{0, 2, 4, 6, …}?

• Set of all counting numbers divisible by 2

• Set of all composite numbers

• Set of all whole numbers divisible by 2

• Set of rational numbers

What type of set is denoted as either { } or ∅?

• Superset

• Disjointed Set

• Empty (or Null) Set

• Subset

Given that
R = { factors of  36 }. 
n(R) = 

• 6
• 9
• 12
• 15

Given that
set  V = { m, n, o, p },
find the number of subsets  V.

• 16
• 12
• 10
• 8

Which of the following is not a well-defined set?

• The set of boys in your class

• The set of even numbers

• The set of students wearing red dress

• The set of the colors of the rainbow

What is the cardinal of the set, H = {w, o, n, d, e, r, f, u, l}

• 10

• 9

• 8

• 7

Set D is the set of the distinct letters in the word mathematics. Write the set using the Roster method.

• D = {m, a, t, h, e, m, a, t, i, c, s}

• D = {m, a, t, h}

• D = {m, a, t, h, e, i, c, s}

• D = {m, a, t, h, i, c, s}

Set C is the set of whole numbers less than 9. Write the set using the Roster method.

• C = {1, 2, 3, 4, 5, 6, 7, 8, 9}

• C = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

• C = {1, 2, 3, 4, 5, 6, 7, 8}

• C = {0, 1, 2, 3, 4, 5, 6, 7, 8}

If every element in set A is also in set B, then...

• A is a subset of B
• B is a subset of A
• A = B
• A and B are disjoint