Consecutive Numbers

Stage: 2 and 3 Challenge Level: Challenge Level:1

Having chosen your $4$ consecutive numbers you place $+$ and $-$ signs in between them.

You have $3$ empty spaces, so how many possible combinations are there for arranging the $+$ and $-$ signs?

Are you sure you have found them all? How will you know?

Published November 1997,January 2007.