In: Statistics and Probability
the Jones family household includes Mr. and Mrs. Jones, 4 children, 2 cats, and 3 dogs. Every dat at 6 P.M. there is a Jones family stroll. The rules for a Jones family stroll are: Exactly 5 things (people + dogs + cats) go on each stroll. Each stroll must include at least one parent and at least one pet. There can never be a dog and a cat on the same stroll unless both parents go.
(a) How many different groupings are possible if exactly one parent and Rover, the oldest family dog, go on the stroll?
(b) How many different groupings are possible if exactly one parent goes on the stroll?