Question 1121888
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Given: n(U)=60, n(X)=25, n(Y)=26, and n(X&#8242;&#8745;Y)=15<br>
n(Y)=26 and n(X&#8242;&#8745;Y)=15  -->  n(X&#8745;Y)=11<br>
Then n(X)=25 and n(X&#8745;Y)=11  -->  n(X&#8745;Y&#8242;)=14<br>
(1) What is n(X&#8242;&#8745;Y&#8242;)?<br>
This set contains everything that is not in either X, or Y, or both:
n(X&#8242;&#8745;Y&#8242;) = n(U)-n(X&#8242;&#8745;Y)-n(X&#8745;Y)-n(X&#8745;Y&#8242;) = 60-15-11-14 = 20<br>
(2) What is n(X&#8242;&#8746;Y&#8242;)? <br>
This set contains everything that is either not in X or not in Y -- i.e., it contains everything except what is in BOTH X and Y:
n(X&#8242;&#8746;Y&#8242;) = n(U)-n(X&#8745;Y) = 60-11 = 49