A soccer team is taking 16 people to a match in 4 cars. The owners of the cars drive their own cars, and each takes 3 other players as passengers. In how many ways can this be done? Could you please help me with a step-by-step explanation?

Respuesta :

Answer:

12

Step-by-step explanation:

The numbers of choices for each of B, C, D are independent of the choices the predecessors have made. It is clear where the car's owners will sit, so all we have to care about is where we put the other people. There are 16−4=12 places left in the cars, so there are 12!