Answer:
1680
Step-by-step 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.