Question

Kurt is creating a bouquet of flowers for his mother. He has a selection of roses,

lilies, orchids and violets from which to create a bouquet of a dozen flowers.
Kurt’s mother loves orchids, so his bouquet will have at least six orchids. How
many different groups of a dozen flowers can Kurt use to make a bouquet?

Answer 1

1296

Explanation:

We know that there are a total of four different flower types we can select for the remaining half dozen (which is 6) flowers in the bouquet. We know each flower has 4 different selections, so there are
`6^(4)` = 1296 ways to create a bouquet.