Counting

For all 3 problems below, Julia has exactly 6 hours to binge-watch episodes. You must show work that supports your final answer.

Part (a)

Assuming that for a given show she always watches episodes in sequential order (never out of order), how many orderings exist for her to watch 8 half-hour episodes from show A and 2 one-hour episodes from show B (she can switch between shows freely)?

Part (b)

Now assume she is willing to watch episodes of the same show in any order (not sequentially). How many orderings exist of the ten total episodes from part (a)?

Part (c)

She again watches in sequential order within each show. There are two shows C and D: one has at least 12 half-hour episodes, the other has at least 3 two-hour episodes. She can mix episodes from both shows in any order. How many orderings exist of the episodes she will watch?