We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
125
1
avatar

Let A  and W  be sets. Suppose n(A′)=17, n(W)=12  , n(A′∪W′)=25 and n(A∩W)=3. What is n(U)

 Dec 6, 2018
 #1
avatar+5172 
+1

\(U=(A\cap W) \cup (A \cap W)^\prime\\ (A \cap W) \cap (A \cap W)^\prime = \emptyset \Rightarrow \\ |U| = |(A\cap W)|+|(A \cap W)^\prime|\\ |A\cap W| =3\\ |(A\cap W)^\prime| = |(A^\prime \cup W^\prime)| = 25\\ |U| = 3 + 25 = 28 \)

 

as far as I can see the other details aren't needed.

 Dec 6, 2018

24 Online Users

avatar
avatar
avatar
avatar
avatar