Discussion
In a class, there are 15 students. During a Christmas party all of them shook hands with each other only once. How many handshakes took place in the class?
Answer: C
A handshake involves two people and the order does not matter, so the count is a combination.
\[ {}^{15}C_{2} = \frac{15 \times 14}{2} = 105 \]
The 210 on offer is \( 15 \times 14 \), counting each handshake from both sides.
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