The sheet of paper shown on the left is folded along the dotted lines (each fold being either forwards or backwards) to make the leaflet shown on the right.
Each of the six ‘pages’ of the leaflet is printed in a different colour. No matter how it is folded, the leaflet will have two pages visible on the outside. How many different pairs of outside pages can be obtained by folding the sheet of paper in different ways?
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Junior Mathematical Challenge 2001 (2001)
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