1. There were 45 handshakes.
2. There will be a total of 55 handshakes.
3. The total would be 190
The pattern is that if you have 10 students, you add 9, 8, 7, 6, 5, 4, 3, 2, 1. This is because if you think about it in the terms of one student shaking everyone's hand each time, that student eliminates themselves from the pool of students who still need to shake each others' hands.
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