First part: Number of ways of breaking the stick = n - 1 (where n is the number of cubes)
Second part: Number of ways of breaking the stick = n/2 if n is even
Number of ways of breaking the stick = (n-1)/2 if n is odd
old notes
4 + 2 and 2 + 4 will look the same if all the cubes are the same colour. The last part of the questions asks you to investigate this.