Hello this is for my discrete math class :)

QUESTION 3 Consider 8 balls and 3 boxes. How many different arrangements of the balls in the boxes are there if, (a) both the balls and the boxes are distinguishable? (b) both the balls and the boxes are distinguishable and no box is empty? (c) the balls are identical and the boxes are distinct? (d) the balls are identical, the boxes are distinct and no box is empty? (e) the balls are distinct and the boxes are identical? (f) The balls are distinct, the boxes are identical and no box is empty