Sevdaks52rans
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s(A) + s(B) = 14 , s(A') + s(B') = 10  ise A kümesinin eleman sayısı aşağıdakilerden hangisi olamaz?

 A) 9   B) 10  C)11  D) 12  E)13

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Dnzalknrans

S(A)=x

S(B)=y

S(AnB)=z

 

S(A')=y-z

S(B')=x-z

 

x+y=14

x+y-2z=10  denklem sisteminden z=2 gelir 

 

burada S(B) en az 2 elemanlı olmalı 

 

S(A) 13 elemanlı olursa 

S(A)+S(B)=13+2=15 olur  14 den fazla çıkar  o halde S(A)=13 olamaz

 

cevap E şıkkı

 

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