Combinations

In this town, houses are built with one room for each person. There are some families of seven people living in the town. In how many different ways can they build their houses?

Jack has nine tiles. He put them together to make a square so that two tiles of the same colour were not beside each other. Can you find another way to do it?

El Crico the cricket has to cross a square patio to get home. He can jump the length of one tile, two tiles and three tiles. Can you find a path that would get El Crico home in three jumps?

Start with three pairs of socks. Now mix them up so that no mismatched pair is the same as another mismatched pair. Is there more than one way to do it?

Arrange 3 red, 3 blue and 3 yellow counters into a three-by-three square grid, so that there is only one of each colour in every row and every column

Explore the different snakes that can be made using 5 cubes.

Find all the numbers that can be made by adding the dots on two dice.

The Red Express Train usually has five red carriages. How many ways can you find to add two blue carriages?

Ben has five coins in his pocket. How much money might he have?

Take three differently coloured blocks - maybe red, yellow and blue. Make a tower using one of each colour. How many different towers can you make?