A committee of 2 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee? Pick.
A) 1/28  B) 3/28  C) 1/14  D) 4/28  E) 1/14
3/8*4/7*1/6*2! = 1/14. We are multiplying by 2! because we can choose secretary,economist, and accountant is several way: .   Answer: 1/14.
<result>E</result>
A committee of 2 persons is to be formed from 3 company secretaries, 4 economists and 1 chartered accountant. What is the probability that each of the three professions is represented in the committee?