Mathematics Homework Solutions
#228899
Probability and Combinations
The nation of Griddonesia consists of eighty-one equally-spaced islands represented by intersections of the lines in the following grid, where north is up and east is right as on a standard map. Each island is connected to all its adjacent islands by horizontal and vertical bridges exactly one-mile long. There are no diagonal bridges. A Griddonesian oceanic engineer labels each island with a different integer from 1, 2, …, 81 to identify them. In how many ways can he number the islands, where the number 1 is always assigned to the central island?
The solution explains the way to find teh number of possible permutations out of a sample.
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