# SOLUTION: There are five people in the room. Each person shakes the hand of every other person exactly once. How many handshakes are exchanged?

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 Click here to see ALL problems on Expressions-with-variables Question 209293: There are five people in the room. Each person shakes the hand of every other person exactly once. How many handshakes are exchanged?Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!all 5 people shake hands with 4 other people BUT ... Jim shaking hands with Sue is the same as Sue shaking hands with Jim so, the total number of handshakes is (5*4)/2 or 10 this is a combination of 5 things taken 2 at a time ... 5C2