If there were 8 people at a party and everyone shook everyone else's hand exactly once, how many handshakes would there be in total?
Solution:
| Number of People Who Have Arrived | Number of Handshakes |
|---|---|
| 0 | 0 |
| 2 | 1 |
| 3 | 3 |
| 4 | 6 |
| 5 | 10 |
| 6 | 15 |
| 7 | 21 |
| 8 | 28 |
How many handshakes would there be if there were 10 people? What about 100 people?
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