9. (a) A party of twelve people is to make a journey in three different cars, with four people in each car. Each car is driven by its owner. Find the number of ways in which the remaining nine people may be allocated to the cars. [The arrangement of people within a particular car is not relevant.]
(b) A party of twelve people is divided equally into three groups. Find the number of ways this can be done

Question

9. (a) A party of twelve people is to make a journey in three different cars, with four people in each car. Each car is driven by its owner. Find the number of ways in which the remaining nine people may be allocated to the cars.    [The arrangement of people within a particular car is not relevant.]    
(b) A party of twelve people is divided equally into three groups. Find the number of ways this can be done