it was decided to add five additional channels, ( 6 f , 7 f , 8 f , 9 f , 10 f ) while keeping the frequency hopping sequence to five bands. Is it advisable to maintain frequency hopping within each of the channels ( 1 f , 2 f , 3 f , 4 f , 5 f ) and ( 6 f , 7 f , 8 f , 9 f , 10 f ), or it is better to select five channels among the bands ( 1 f , 2 f , 3 f , 4 f , 5 f , 6 f , 7 f , 8 f , 9 f , 10 f )? Explain your answer with some quantitative measures.

In a hypothetical wireless system, five adjacent frequency bands
(1f ,2f 3f ,4f ,5f) are allowed for frequency hopping sequences. Enumerate how many differenthopping sequences are possible and prove their correctness.


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