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A kangaroo is sitting in the Australian outback. He plays a game in which he may only jump 1 metre at a time, either North, East, South or West. At how many different points could he end up after 10 jumps?
 

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.
 
 

This problem is taken from the UKMT Mathematical Challenges.