How many handshakes are required for a group of 15 people to shake everyone's hand?
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How many handshakes are required for a group of 15 people to shake everyone's hand?
Given information-
We have given a group of 15 people.
We have to find no. of handshake required to shake everyone’s hand.
Shaking hands in a group involves pairings of two people in all possible ways
Explanation:
Let say we have X people in the room. So, to shake hands we have to pair each one of these X with each one of the rest of people (X-1) in the room.
Therefore, Total possible pairing is = X(X-1).
Since in the above pairing we have counted each handshake twice.
So, the correct possible handshake is-
= X(X-1)/2
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