Number of Possible Orders

#1
In a regional spelling bee, the 8 finalists consist of 3 boys and 5 girls. Find the number of sample points in the sample space S for the number of possible orders at the conclusion of the contest for:
a) all 8 finalist.
b) the first 3 positions.

My solutions:
a) 8! = 40,320 sample points.
b) 8!/(8-3)! = 336 sample points.
Is this correct?