Posted by **Tori** on Sunday, May 1, 2011 at 11:11am.

14 students in an Algebra class were asked to shake hands with each other. Each student shook hands with each of the other students exactly once. How many handshakes occured in this class?

- MAth -
**MathMate**, Sunday, May 1, 2011 at 11:24am
Each of the 14 student shakes hands with the 13 remaining students for a total of 13*14 times. However, each handshake was counted twice, once from each student, so the above count has to be divided by 2 to get:

13*14/2=91 handshakes.

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