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Let an denote the number of different ways to color the walls of a five-sided room...

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Advance Math

Let an denote the number of different ways to colorthe walls of a five-sided room with n colors if you insist that twowalls that meet at a corner must be assigned different colors.

(i) compute a1, a2 and a3 directly

(ii) Find the formula for an

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3.9 Ratings (650 Votes)
Assume there are 5 walls in the room naming A B C D and E in the order i For n1 there is only 1 color present If we paint first wall then there is no other color left for another wall So number of ways0 a10 For n2 there are 2 colors C1 and C2 are present If we paint wall A with color C1 then its surrounding walls B and E must    See Answer
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