Answer: For eight people answer will be 28.
Explanation:
1. The first person shakes hands with the other seven people. This results in 7 handshakes.
2. The second person shakes hands with the remaining six people (excluding the first person). This adds 6 more handshakes.
3. The third person shakes hands with the remaining five people. This adds 5 more handshakes.
4. The fourth person shakes hands with the remaining four people. This adds 4 more handshakes.
5. The fifth person shakes hands with the remaining three people. This adds 3 more handshakes.
6. The sixth person shakes hands with the remaining two people. This adds 2 more handshakes.
7. The seventh person shakes hands with the remaining one person. This adds 1 more handshake.
Adding up all the handshakes from each step, we get a total of 28 handshakes.