More on Murg and his Tulips

I've been running around looking for more tulips for the unhappy ogre Murg. I've managed to find another three vibrant red tulips today in the areas of the Kingdom of Juargan, the King's Castle and Revelation City.

I handed them over to Murg like before who looks like this:

Thick in form and intellect, this Ogre has a dull clump of tangled, sludge-
colored hair, and eyes like green drool. His oversized, underwashed body is
(thankfully) covered in an assortment of matted furs, covered in fleas that
were probably desperate to get away from the smell of his skin. The only parts
of him that are clean enough to see the deep charcoal grey colour of his flesh
are his drool-soaked chin, and the paths of two streams of tears on his cheeks.

Doing this quest got me thinking about how many different bouquets of three flowers were possible from a selection of five flowers. I gave this challenge to one of my classes at school to figure out with varying degrees of success. The answer to this problem is:

Number of bouquets with 3 flowers the same = 5 × 1 × 1 = 5
Number of bouquets with 2 flowers the same = 5 × 1 × 4 = 20
Number of bouquets with 3 flowers different = 5 × 4 × 3 ÷ 3! = 10

In total there are 35 different possible bouquets that can be made requiring a total of 105 flowers with 21 of each colour needed. With 2 bouquets handed in I have a lot of work to do...