Suppose you want to select 2 team leaders from 6 employees. One would lead Project 1 and the other Project 2 (an employee can only lead one project). Refer to the six employees as the set {A, B, C, D, E, F}.

a. Write four different ways we can assign two employees to be leaders in the two projects. Use the notation (Leader1, Leader2). Below are three examples; write four more using the notation.

(A, B) refers to employee A selected as leader of Team 1 and employee B as leader of Team 2.

(B, A) refers to employee B selected as leader of Team 1 and employee A as leader of Team 2.

(C, D) refers to employee C selected as leader of Team 1 and employee D as leader of Team 2.

 

b. Do we use a counting rule for combinations or for permutations to count the number of possible arrangements of project leaders? (Only one is correct.)

c. Calculate by hand (you can use a calculator at the end but show some steps first), how many arrangements of project leaders are possible?