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? Please Answer Soon...
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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: 5×4=20
You can also use 3 different colours of sticks. 5×4×3÷3=20
Thus there are 45 possibilities.
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