a) In how many ways can 10 people, denoted A, B, ..., I, J, be seated about the rectangula...

a) In how many ways can 10 people, denoted A, B, ..., I, J, be seated about the rectangular table shown in Fig. 1.11, where Figs. 1.11(a) and 1.11(b) are considered the same but are considered different from Fig, 1.11(c)?

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b) In how many of the arrangements of part (a) are A and B seated on longer sides of the table across from each other?