A bag contains three red marbles, three green ones, one lavender one, four yellows, and two orange marbles. HINT [ See Example 7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors? sets

Is it possible that P(AB)=P(A)? Explain.

A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in the front and 3 in the back a. How many arrangements are possible with no restrictions? b. How many arrangements are possible if the parents must sit in the front? C. How many arrangements are possible if the parents must be next to each other?