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Use the arithmetic series formula (Sum of the sequence):

S _{n} = \frac{n(n-1)}{2}

Where n = 9

S₉ = 9(9-1)

S₉ = 9 (8)

S₉ = 72/2

S₉ = 36 handshakes

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Or, you could use a shorter statistical solution 9C2 [read as 9 choose 2] and use formula for combination or just press in a scientific calculator and get the same answer which is 36. :)
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You're right. And if the inquirer asks why where did you get 2, it's because only two people can shake hands at at time. If more than 2 shakes hands at the same time, shall we call it "kompyang". It's a joke, please laugh :-) Welcome back :-)
HAHAHA. Nice one there. :D
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