BetterThanAkin2 BetterThanAkin2

27-04-2015
Mathematics

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At a party, everyone shook hands with everybody else. There were 66 handshakes in total. How many people were at the party?

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bufjasmine bufjasmine

27-04-2015

At a party, everyone shook hands with everybody else. There were 66 handshakes in total. How many people were at the party?12 people.
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27-04-2015

12 people were at the party.

You can choose 12 people to be one person, and 11 to be a person they are shaking hands with. However, this allows us to choose person A, then person B, or Person B, then Person A. We don't want to double-count this case, so we divide by 2. 12*11/2=66, so 12 works.

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