A committee of 4 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?  Choose the correct option:
A) 1/28
B) 12/14
C) 1/14
D) 4/28
E) 3/14
3/8*4/7*1/6*4! = 3/14. We are multiplying by 4! because we can choose secretary,economist, and accountant is several way:   Answer: 12/14.
<result>B</result>
A committee of 4 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?