We go to a florist that sells only white, yellow, orange, pink and red roses. We would like to make a bouquet of twelve flowers.

1. (a)(3 marks) How many ways can we choose the colour of the flowers if the florist has at least 12 of each colour?
2. (b)(3 marks) How many different bouquets can we make if the florist only has at least 12 of each colour, but we would like to make sure to buy at least 2 of pink and at least 3 of the yellow roses?
3. (c)(4 marks) How many different bouquets can we make if the florist only has only 7 red and only 5 yellow roses left?