Copyright © University of Cambridge. All rights reserved.

## 'Rabbits in the Pen' printed from http://nrich.maths.org/

Here are $6$ different rabbits waiting to go to a home. They are in
a pen in a pet shop. You'll see $2$ brown, $2$ black and $2$ grey.
There is a floppy-eared one and an ordinary one of each
colour.

Let's imagine that rabbits can only be one of these $6$ different
kinds and there are no other kinds of rabbits. Then:

How many, and of what kind, will there be in a pen if all these
statements are true?

- There are more brown than any other
colour
- There are equal numbers of floppy
browns and ordinary browns
- There are three which have floppy
ears
- There are twice as many floppy browns
as floppy whites
- There are three times as many blacks
as whites

How many, and of what kind, will there
be in the second shop if all these statements are true?

- There are the same number of blacks
as browns
- There are twice as many floppy browns
as ordinary browns
- There are the same number of floppy
browns as floppy greys
- All but one are floppy