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Smallest possible number of elements in union of a,b

Source: 2011 AMC a Problem 6

June 25, 2011
AMC

Problem Statement

Set AA has 20 elements, and set BB has 15 elements. What is the smallest possible number of elements in A∪BA \cup B , the union of AA and BB ?
<spanclass=′latex−bold′>(A)</span> 5<spanclass=′latex−bold′>(B)</span> 15<spanclass=′latex−bold′>(C)</span> 20<spanclass=′latex−bold′>(D)</span> 35<spanclass=′latex−bold′>(E)</span> 300 <span class='latex-bold'>(A)</span>\ 5 \qquad<span class='latex-bold'>(B)</span>\ 15 \qquad<span class='latex-bold'>(C)</span>\ 20\qquad<span class='latex-bold'>(D)</span>\ 35\qquad<span class='latex-bold'>(E)</span>\ 300
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