10 people @ a banquet shake hands. How many handshakes went around?

This is a Question that has 4 different answers. Here they are; A)100 B)20 C)45 D)90

Now this Question needs to be answered, because I need to know if I am right! ;) My partner and I have different answers and I know that I am right. But I need to prove it to him that I am right. So can someone please help me in proving him wrong........Thank you - LOL

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When I first read the beginning of Frisky's reply I thought it was a man being sexist but I know now that a woman sent the reply. GO FOR IT GIRL! The answer is 45