Question

The project team for a study has eight members. If members are assigned to responsibilities of project manager, fieldwork manager, budget manager, and report manager, how many different possibilities exist?

Answer 1

1680

Explanation:

The number of permutations of n objects taken k at a time is given by ...

nPk = n!/(n-k)!

For 8 team members assigned roles 4 at a time, the number of possibilities is ...

8P4 = 8!/(8-4)! = 8·7·6·5 = 1680

1680 different possibilities exist for assigning team members to roles.