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Cardinal of Sets

What is Set?

A set is a collection of certain objects that have a clear definition and are considered as a single whole.

How to Declare a Set

• In words
  i.e. by mentioning all the conditions or properties of the members of the set in curly braces.
• With forming notation
  that is, by mentioning all the properties of the members of the set, with their members expressed in a variable and written in curly braces.
• By registering its members
  that is, by writing all the members of the set in curly braces, and each member is bounded by a comma.

What is Cardinality?

How many items or elements are genuinely present in a group or set is indicated by the cardinality of those groups or sets. The cardinal number of a set is the number of elements or members in that set. If A is a finite set and contains N members. So N is set from A cardinal number.

Note: that an empty set's cardinal number is always zero.

Difference Between Cardinal Numbers and Ordinal Numbers.

Cardinal numerals and ordinal numbers have diverse meanings. Ordinals are numbers that indicate a thing's place. Ordinal numbers determine the order of the items in a list when several items are mentioned. First, second, third, fourth, fifth, sixth, and so on are adjectives that are used to indicate the order of something.

Problem: Set A is the set of days in a week.
Answer: A = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}
n(A) = 7

Problem: Set B is the set of letters in the word "recognition".
Answer: B = { c, e, g, i, n, o, r, t}

n(B) = 8

Problem: Set C is the set of even numbers less than 2.
Answer: C = { }

n(C) = 0

Problem: Set D is the set of odd numbers between 3 and 9.
Answer: D = {5,7}

n(D) = 2

Problem: Set E is the set of factors of 12.
Answer: E = { 1, 2, 3, 4, 6, 12}

n(E) = 6

Learn more about Set, here:

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