In a meeting of 3 representatives from each of 6 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?	Choose the most appropriate option
A) 45  B) 135  C) 144  D) 270  E) 288
There are total 18 people from 6 companies,3 from each.Now each of them starts shaking hands one by one with other companies representative. If the companies are A,B,C,D,E,F.   Each member from company A gets to shake hands with 15 people(Total 18 minus member from his company and himself).   Then each member from company B shakes hands with 12 people because they already shook hands with company A members. Similarly company C member shakes hand with 9 members and so on.   so we have   (15*3)+(12*3)+(9*3)+(6*3)+(3*3)= 
<gadget id="calculator">  (15*3)+(12*3)+(9*3)+(6*3)+(3*3)</gadget>
<output>135</output>
135   ANS:135
<result>B</result>
In a meeting of 3 representatives from each of 6 different companies, each person shook hands with every person not from his or her own company. If the representatives did not shake hands with people from their own company, how many handshakes took place?