# Probability Mania

A fair six-faced die is rolled six times.
The probability that the numbers on the die appear either in ascending or descending order is of the form $\dfrac{A}{B}$ where $$A$$ and $$B$$ are co-prime integers.
Find the value of $\dfrac{B}{24}-A$

Assumptions
- The order may not be strictly ascending or descending. For example, $$1-1-2-4-4-6$$ is a valid sequence of numbers.

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