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 4 businessmen, how many possible team submissions are possible?  Choose the correct choice from the following answers
A) 52 B) 100 C) 162 D) 198 E) 202
We have 3 scenarios here:   1) 1 tech2 businessmen: 4C1 x 4C2 =24   2) 2 tech1 businessman: 4C2 x 4C1 = 24   3) 3 tech0 businessmen: 4C3 = 4   Total:24+24+4= 
<gadget id="calculator">24+24+4</gadget>
<output>52</output>
52   52nswer: 52
<result>A</result>
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 4 businessmen, how many possible team submissions are possible?