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Answer:

What is the cardinal number of a set?

The number of distinct elements in a finite set is called its cardinal number. It is denoted as n(A) and read as ‘the number of elements of the set’.

For example:

(i) Set A = {2, 4, 5, 9, 15} has 5 elements.

Therefore, the cardinal number of set A = 5. So, it is denoted as n(A) = 5.

(ii) Set B = {w, x, y, z} has 4 elements.

Therefore, the cardinal number of set B = 4. So, it is denoted as n(B) = 4.

(iii) Set C = {Florida, New York, California} has 3 elements.

Therefore, the cardinal number of set C = 3. So, it is denoted as n(C) = 3.(iv) Set D = {3, 3, 5, 6, 7, 7, 9} has 5 element.

Therefore, the cardinal number of set D = 5. So, it is denoted as n(D) = 5.

(v) Set E = {   } has no element.

Therefore, the cardinal number of set D = 0. So, it is denoted as n(D) = 0

Step-by-step explanation:

Using the cardinality concept, it is found that the cardinal number of the set is of 6.

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  • The cardinality of a set is given by the number of unique elements in the set.
  • For example: set {a,a,a} has cardinality 1, as there is only one unique element, which is a.
  • set {a,b,c} has cardinality 3, as there are three unique elements, which are a,b and c.
  • set {a,a,b} has cardinality 2, as there are two unique elements, which are a and b.

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  • set {a,b,c,d,e,f} has cardinality 6, as there are 6 unique elements, which are: a, b, c, d, e and f. Thus, the cardinal number of the set is of 6.

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