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At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ?

At the end of a business conference the ten people present all shake hands with each other once. How many handshakes will there be altogether ? Correct Answer 45

Clearly, total number of handshakes = (9+ 8 + 7 + 6 + 5 + 4 + 3 + 2+1) = 45.
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