Let an denote the number of different ways to color
the walls of a five-sided room...
70.2K
Verified Solution
Link Copied!
Question
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
Answer & Explanation
Solved by verified expert
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
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
