Question

Please Explain: You have an unlimited supply of five different coloured pop-sticks and want to make as many different coloured equilateral triangles as possible, using three sticks. How many different triangles are possible?

Answer 1

Answer:

You can use 3 sticks of the same colour: 5 triangles

You can use 2 sticks of one colour, then one stick of another color: $5\times4=20$

You can also use 3 different colours of sticks. $5\times4\times3÷3=20$

Thus there are 45 possibilities.

Step-by-step explanation:

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