Question

A scientist wants to research the potential spread of germs by contact. She knows that the number of possible handshakes within a group of n people is given by the equation N=1/2(n^2-n). Everyone at a party shook hands. There were 253 handshakes in all. How many people attended the party?

N=1/2(253^2-253)
N = 1/2(64009-253)
N = 1/2(63756)
N =31878

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