Combinations

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

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

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?

Use these head, body and leg pieces to make Robot Monsters which are different heights.

Here are some rods that are different colours. How could I make a yellow rod using white and red rods?

My coat has three buttons. How many ways can you find to do up all the buttons?

Which two items of fruit could Kate and Sam choose? Can you order the prices from lowest to highest?

Noah saw 12 legs walk by into the Ark. How many creatures did he see?

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?

Use the interactivity to help get a feel for this problem and to find out all the possible ways the balls could land.