Jumpy, Patient Frog Named Sally And A Math Problem About Her Life-I

Discrete Mathematics Level 5

A frog, namely, Sally, is jumping about the vertices of a hexagon, \(ABCDEF\), each time jumping to an adjacent vertex. In how many ways can she get from \(A\) to \(C\) in \(124356\) moves?

Note: Sally is allowed to land on C during the intermediate steps.

As a little bonus, can you generalise for \(n\) jumps?

This problem is a part of my froggy, soggy set.


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