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A rectangular wall is partitioned into 5 rectangular parts as shown in the following diagram: the wall is divided into two columns on the left two-thirds of its width and one tall column spanning the full height on the right (so the left two-thirds forms 2 top cells and 2 bottom cells side by side, plus 1 full-height cell on the right, totalling 5 parts). If you have three different colours to paint the wall and if no two adjacent parts are to be painted with the same colour, in how many different ways can one paint the wall? **[CAPF (ACs) 2026]**

1. A rectangular wall is partitioned into 5 rectangular parts as shown in the following diagram: the wall is divided into two columns on the left two-thirds of its width and one tall column spanning the full height on the right (so the left two-thirds forms 2 top cells and 2 bottom cells side by side, plus 1 full-height cell on the right, totalling 5 parts). If you have three different colours to paint the wall and if no two adjacent parts are to be painted with the same colour, in how many different ways can one paint the wall? **[CAPF (ACs) 2026]**

 

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