MathDB
Sums in a Set

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January 2, 2009

Problem Statement

How many different integers can be expressed as the sum of three distinct members of the set {1,4,7,10,13,16,19} \{1, 4, 7, 10, 13, 16, 19\}? <spanclass=′latex−bold′>(A)</span> 13<spanclass=′latex−bold′>(B)</span> 16<spanclass=′latex−bold′>(C)</span> 24<spanclass=′latex−bold′>(D)</span> 30<spanclass=′latex−bold′>(E)</span> 35 <span class='latex-bold'>(A)</span>\ 13 \qquad <span class='latex-bold'>(B)</span>\ 16 \qquad <span class='latex-bold'>(C)</span>\ 24 \qquad <span class='latex-bold'>(D)</span>\ 30 \qquad <span class='latex-bold'>(E)</span>\ 35
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