What is the cardinality of each A YnA B EM C OuP D A Water W


What is the cardinality of each:

A.) YnA

B.) E-M

C.) OuP

D.) A\'

Water (W) Air (A) Population (P) Energy (E)
(Y) Young 90 60 40 20
(M) Middle 110 70 10 40
(O) Old 30 100 5 25

Solution

Cardinality of a set is the total number of elements in that set. So if S is a set its cardinatilty is represented as n(S).

Now from table , it is cleared that YnA represents total youngs that are related to A and this value is given 60, so cardinality of YnA is 60.

Similarly E-M represents the total numbers of Middles, having energy (E) and this is the value that is in second row and fourth column i.e. 40 so cardinality of E-M is 40.

Accordingly OuP represents total olds having population feature and that is the value in third row and third column i.e. 5

so cardinality of OUP is 5.

And lastly A` represents total items that are not in A. So here the total of all the values that are not in Air(A) column be (90+110+30+40+10+5+20+40+25) = 370

So cardinality of A`= 370

Answer

 What is the cardinality of each: A.) YnA B.) E-M C.) OuP D.) A\' Water (W) Air (A) Population (P) Energy (E) (Y) Young 90 60 40 20 (M) Middle 110 70 10 40 (O)

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