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, 2002

Combinatorics Difficulty 1.0 Junior Find the answer Canada

Five people are in a room for a meeting. When the meeting ends, each person shakes hands with each of the other people in the room exactly once. The total number of handshakes that occurs is

(A) $5$ (B) $10$ (C) $12$ (D) $15$ (E) $25$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.