Set Cardinality Calculator - Calculator Academy

Enter the set into the calculator to determine the cardinality. This calculator can also evaluate the set given the cardinality is known.

Set Cardinality Formula

The following formula is used to calculate the cardinality of a set.

C = |S|

Variables:

C is the cardinality of the set
S is the set

To calculate the cardinality of a set, simply count the number of elements in the set. The cardinality of a set is represented by the symbol "|S|", where "S" is the set.

What is a Set Cardinality?

Set cardinality refers to the number of elements that are contained in a set. In other words, it is a measure of the "size" of a set. For finite sets, the cardinality is simply a count of all its elements. For infinite sets, the concept of cardinality becomes more complex and is defined in terms of a one-to-one correspondence between the elements of the set and the elements of other sets.

How to Calculate Set Cardinality?

The following steps outline how to calculate the Set Cardinality.

First, determine the set (S).
Next, count the number of elements in the set (C).
Finally, calculate the Set Cardinality.
After counting the elements, check your answer with the formula above.

Example Problem :

Use the following variables as an example problem to test your knowledge.

Set (S) = {1, 2, 3, 4, 5}

Cardinality of the set (C) = |S|