Answer
See below
Work Step by Step
$A\cup C=${Dirk,Johan,Frans,Sarie,Hans}
$n(A\cup C)=5$
$n(A)=$4
$n(C)=$2
$A\cap C=${Frans}
$n(A\cap C)=1$
$n(A)+n(C)-n(A\cap C)=4+2-1=5$
$n(A)+n(C)-n(A\cap C)=5=n(A\cup C)$
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