a) Suppose you have brought four pens of different colours to the exam. For each of the ten question on the exam, you choose one pen. In how many ways can this be done?
b) In how many ways can you distribute six bananas and five oranges between three children so that each child receives at least one banana?
c) Suppose you have eight apples which you wish to put in five boxes. How many possible outcomes are there if the apples are not distinguished from each other, but the boxes are?
a) For this, I take you just go 10x4 = 40.
b) I assumed you consider there to be only 10 objects after taking into account each has to have a banana, hence 10! / (10-3)! = 720
c) I have no clue how to do this bit.
The Attempt at a Solution
Kindly have a look at what I have attempted and correct me if I'm wrong. Thanks!