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## Homework Statement

Please help me in my attempt:

There are 20 laborers to four different construction jobs including 4 workers of ethnic minority. The first job required 6 laborers;

the second, third, and fourth utilized 4, 5, and 5 laborers, respectively. What is the probability that:

a) an ethnic group member is assigned to each type of job?

b) no ethnic group member is assigned to a type 4 job?

## The Attempt at a Solution

a) [16!/(5!3!4!4!)]/[20!/(6!4!5!5!)]

equals to 0.0051. Thus, there is 0.5% chance that each minority would be assigned to each job

b) I offer one way:

1- [16!/(6!4!5!1!)] / [20!/(6!4!5!5!)]

Please offer another way.