Arrangements

A florist arranges twelve bouquets, coded A to L, on stands numbered 1 to 16. Of these, 5 are Roses, 4 are Lilies and 3 are Tulips. Bouquets of the same kind occupy consecutively numbered stands with no empty stand among them, and between two bouquets of different kinds there is at least one empty stand. No more than two empty stands are consecutively numbered. (There are 4 empty stands.) A bouquet is 'immediately preceded by k empty stands' if the k stands just below it are empty and the stand below those is occupied or does not exist. Also known. 1. A and B occupy consecutively numbered stands, A immediately before B. 2. I and J occupy consecutively numbered stands; both are higher-numbered than A and B. 3. The Tulips occupy consecutively numbered stands, all higher-numbered than every Rose and every Lily. 4. K is on stand 16. 5. D and J are bouquets of the same kind; H is of a different kind from D. 6. C is a Lily and is immediately preceded by exactly two empty stands. 7. L is immediately preceded by exactly one empty stand.