Q1) A bag of Candy Pieces (a type of candy) contains yellow, orange and brown coloured pieces (each candy is one solid colour). There are plenty of each colour in the bag.

a. If we reach in and grab a handful of ten candies, how many different colour combinations are possible? Keep in mind that candies of the same colour are considered identical.

b. How many ten candy combinations are possible where at least one of each colour is drawn?

c. Suppose we instead draw candies one at a time from the bag. How many candies must we draw to ensure that we obtain at least five of A SINGLE colour

Q2)Find the smallest composite (positive) integer that is relatively prime to both 10 and 12.