If 8 people went to a party and each person shook hands at least one time. how many total hand shakes would there be?
Think about how many people the first person would shake hands with, how many people the second person would shake hands with, and so forth.
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To find the total number of handshakes, we can think of each person at the party individually and count how many handshakes they would make.
Let's start with the first person. They would shake hands with the other 7 people at the party.
Next, the second person comes into play. They have already shaken hands with the first person, so they have 6 more people left to shake hands with.
We can continue this pattern for each person. The third person would have 5 people left to shake hands with, the fourth person would have 4 people left, and so on.
Adding up the number of handshakes for each person, we get:
7 + 6 + 5 + 4 + 3 + 2 + 1 = 28
Therefore, there would be a total of 28 handshakes if 8 people went to the party and each person shook hands at least once.