a) In how many ways can eight people, denoted A, B, ..., H be seated about the square tabl...

a) In how many ways can eight people, denoted A, B, ..., H be seated about the square table shown in Fig, where Figs(a) and (b) are considered the same but are distinct from Fig. (c)?

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b) If two of the eight people, say A and B, do not get along well, how many different seatings are possible with A and B not sitting next to each other?