Question: In a hypothetical wireless system, five adjacent frequency bands (f 1 , f 2 , f 3 , f 4 , f 5 ) are

In a hypothetical wireless system, five adjacent frequency bands (f₁, f₂, f₃, f₄, f₅) are allowed for frequency hopping sequences. Enumerate how many different hopping sequences are possible and prove their correctness.

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