Is this concept important?

I did not find any relevant video online, all are either very long or its j complex. Should I just memorize this formula or what? ig I am bound to forget it so is it worth learning?

Also is there another way of solving this??

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Comments (2)

much of the problem in this question is caused by the last side you are about to fill, causes a lot of double counting as you can rotate a circle, if u had a beautiful central region like in this question, sides would be forced to alternate at any cost and there would be no double counting, start by filling the central region, 3 ways and then fill one of the regions, 2 choices, and then you'll notice every other region has one choice left so 3 x 2 x1 x 1 x1 = 6 ways in total, this worked here beacause every side was forced to alternate colours so there was essentialy no double counting.

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You could do it logically but since it's a circle alot of double counting problems occur, it's best to just go with the formula.

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