SOLUTION: A modern town is laid out in square blocks. By how many different routes can we go from the corner of East 1st Street and North 1st Avenue
to the corner of East 7th Street and N
Algebra ->
Permutations
-> SOLUTION: A modern town is laid out in square blocks. By how many different routes can we go from the corner of East 1st Street and North 1st Avenue
to the corner of East 7th Street and N
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Question 1183760: A modern town is laid out in square blocks. By how many different routes can we go from the corner of East 1st Street and North 1st Avenue
to the corner of East 7th Street and North 5th avenue, each route being of the smallest possible length, that is, 10 blocks?
We need to go 6 blocks east and 4 blocks north, in any order. The number of ways we can do that is the number of ways we can arrange the letters EEEEEENNNN.
By a well-known counting principle, the number of ways we can do that is
