SOLUTION: In an office, there are three secretaries, four accountants, and two receptionists. If a committee of three is to be formed, find the probability that one of each will be selected.

Algebra ->  Probability-and-statistics -> SOLUTION: In an office, there are three secretaries, four accountants, and two receptionists. If a committee of three is to be formed, find the probability that one of each will be selected.      Log On


   

Question 1170960: In an office, there are three secretaries, four accountants, and two receptionists. If a committee of three is to be formed, find the probability that one of each will be selected.
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Number of ways of choosing 3 of the 9 people: C%289%2C3%29+=+84

Number of ways of choosing 1 of the 3 secretaries AND 1 of the 4 accountants AND 1 of the 2 receptionists: C%283%2C1%29%2AC%284%2C1%29%2AC%282%2C1%29+=+3%2A4%2A2+=+24

Probability of choosing one of each: 24%2F84+=+2%2F7

ANSWER: 2/7