Departments A, B, and C have 6 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible? Answers.
A) 19,000
B) 41,040
C) 100,000
D) 190,000
E) 400,000
6c1 * 6c1* 6c1*20c2 = 6*6*6*190=41,040. Hence 41,040 is the correct answer.
<result>B</result>
Departments A, B, and C have 6 employees each, and department D has 20 employees. Departments A, B, C, and D have no employees in common. A task force is to be formed by selecting 1 employee from each of departments A, B, and C and 2 employees from department D. How many different task forces are possible?