MathDB
28 Handshakes

Source:

February 1, 2009
LaTeX

Problem Statement

A total of 28 28 handshakes was exchanged at the conclusion of a party. Assuming that each participant was equally polite toward all the others, the number of people present was: <spanclass=latexbold>(A)</span> 14<spanclass=latexbold>(B)</span> 28<spanclass=latexbold>(C)</span> 56<spanclass=latexbold>(D)</span> 8<spanclass=latexbold>(E)</span> 7 <span class='latex-bold'>(A)</span>\ 14 \qquad<span class='latex-bold'>(B)</span>\ 28 \qquad<span class='latex-bold'>(C)</span>\ 56 \qquad<span class='latex-bold'>(D)</span>\ 8 \qquad<span class='latex-bold'>(E)</span>\ 7