Oozy rat in a sanitary zoo

Discrete Mathematics Level 5

Consider the palindromic phrase

\[\text{OOZYRATINASANITARYZOO}\]

In how many ways can \(\text{OOZYRATINASANITARYZOO}\) be read if you start at any \(O\) and are restricted to read only up, down, left or right to adjacent letters?

Note: You are allowed to use the same letter twice, and you each case is counted twice since you can read a case from one direction, but it can also be read from the opposite direction.

You may use a calculator for the final step

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.