Sort the Street

Thank you to everybody who sent in their thoughts about these houses.

Lauren and Toby from Llandovery Prep School in Wales each sent in a solution like this:

There are 3 houses with green doors.
There are 3 houses with blue doors.
There are 3 houses with black doors.
There are 3 houses with 3 storeys.
There are 4 houses with grey rooves.
There are 5 houses with red rooves.
There are 3 houses with small chimneys.
There are 6 houses with big chimneys.
There are 3 houses with 3 windows.
There are 6 houses with 5 windows.

Well spotted! I wonder how many different ways of sorting the houses that gives us?

Elijah from the Independent Jewish Day School wrote in with these solutions:

There are 3 houses with blue doors
There are 3 houses with green doors
There are 3 houses with black doors
There are 3 houses with 3 small windows
There are 3 houses with 5 small windows
There are 3 houses with 4 small windows and one big window
There are 3 houses big houses
There are 3 houses medium houses
There are 3 houses small houses
There are 6 houses with a door on the right
There are 3 houses with a door in the middle
There are 4 houses with a grey roof
There are 5 houses with a red roof

Well done for spotting all of these differences, Elijah. How many ways of sorting the houses does that give us?

Noah from Goodwyn School came up with these eight solutions:

Door colour - blue, green or black
Number of windows - 3 or 5
Roof colour - grey or brown
Amount of floors - 2 or 3
Position of door - right or middle
Number of sections in window - 4 or 6
Positioning of windows
Height of roof - small or big

Thank you for sending us these ideas, Noah - that's eight different ways we could sort the houses.

If you would like to get in touch with us with some different ways of sorting these houses, please email us with your ideas.