Discussion
There are 30 people in a group. If all shake hands with one another , how many handshakes are possible?
Answer: B
A handshake involves two people and the order does not matter, so the count is a combination.
\[ {}^{30}C_{2} = \frac{30 \times 29}{2} = 435 \]
The 870 on offer is \( 30 \times 29 \), which counts each handshake twice - once from each participant's side.
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