Question

if A and B are two sets such that n(A) = 12, n(A- B) = 5 and n(A∪B) = 23, the maximum number of subsets (A∩B) is ​

Answer 1

answer will be 18

hope you are fine and healthy

Answer 2

solution =>

• n(A) = 12----(1

• n(A-B)=5 eq----(2

• EQ(1 put in EQ (2

• n(12-B)=5 ,12-B=5

• B=12-5

• n(B)=7------(2

• n(A∪B) = 23-----(3

we know that

• =>n(A∩B) =n(A)+n(B)-n(A∪B) ----(4

• EQ 1 ,2 ,3 value put in EQ 4

• =>n(A∩B) =12+7-23

• =>n(A∩B) =19-23

• =>n(A∩B) =-4

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I hope it helps you