An entrepreneurship competition requires registering teams to have 3 team members, at least one of which must be a technology co-founder. If all team members must come from the auditorium during the meet and greet event which has 4 technologists and 6 businessmen, how many possible team submissions are possible?\nOptions:\n(A) 76\n(B) 100\n(C) 162\n(D) 198\n(E) 202 Let's think first. Stream of consciousness:
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We have 3 scenarios here:\n1) 1 tech2 businessmen: 4C1 x 6C2 = 60\n2) 2 tech1 businessman: 4C2 x 6C1 = 36\n3) 3 tech0 businessmen: 4C3 = 4\nTotal: 60+36+4 = 100
So, the answer is (B).
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