Question

At the end of a business conference, all $10$ people present shake hands with each other once. How many handshakes will there be altogether?

• A. $10$
• B. $45$
• C. $55$
• D. $90$

Answer 1

Answer: (B)

$45$

Number of handshakes in a conference = $\frac{n(n-1)}{2}$ where $n$ being the number of people.
Given, there are 10 people present in the conference.
So, number of handshakes in the conference = $\frac{10(10-1)}{2}=45$.
Hence, option B is the correct answer.