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# help please how do i find the minimum

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23 people attend a party. Each person shakes hands with at least one other person. What is the minimum possible number of handshakes?

I got 253 but that's incorrect (the math was right but the formula was wrong).

$$x=\text{number of handshakes}$$

$$\frac{23(23-1)}{2}=x \\ \frac{23\times 22}{2}=x \\ x=\colorbox{red}{253}\color{red}{\leftarrow\text{THIS IS WRONG}}$$

lolzforlife  Jul 5, 2018
edited by Guest  Jul 5, 2018
edited by Guest  Jul 5, 2018
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