- #1

brendan

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## Homework Statement

A family of nine has two vehicles, each of which can hold a maximum of five people.

## Homework Equations

How many different ways are there of allocating people to the cars?

If three of the memebers of the family only have a drivers licence, how many different ways are there of allocating people to the cars?

## The Attempt at a Solution

Question part a.

9 people 3 cars

9! / (6! * 3!) = 84

Question part b.

9! / 6! = 504

Are these answers on track?