Given that $n(\, \xi \,)=36$, $n(A)=20$ and $n(B)=24$, find the greatest and least value

Question

Given that $n(\, \xi \,)=36$, $n(A)=20$ and $n(B)=24$, find the greatest and least value of $n(A \cap B)$, the greatest and least value of $n((A \cup B)')$.

Accepted Answer

(i) greatest $20$, least $8$ (ii) greatest $12$, least $0$

Sets - Bounds on Set Cardinalities

Sets - Bounds on Set Cardinalities

Video Solution:

Solution:

Solution locked