Mr. Jack has a box with 10 candies left in it. There are 4 red ones, 4 blue as well as an orange and a green.

a) Assume a handful means anywhere from 1 candy to all of them.

In how many ways can Mr. Jack grab a different handful of candies from the box?

b) If all 10 candies were different colours (so 1 red, 1 blue, 1 orange, etc.) there would be more ways to grab a handful from the box. Show that this is correct by finding the number of different ways.

c) Why are there more ways to grab handfuls in part (b)? Explain your thinking.