Four people in a room. Each shakes hands with each of the others once. How many handshakes are there?   6 10 12 16 22

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Four people in a room. Each shakes hands with each of the others once. How many handshakes are there?   6 10 12 16 22

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Combinations problem. We just have to reword it. If one guy is to shake hands with another guy, then how many pairs can we possibly have? Order in which the guys shake hands doesn't matter, so we use combinations. We choose 2 from 4. 4C2=4!/[(4-2)!*2!]=24/(2*2)=6 handshakes

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