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In how many ways can 8 people be lined up so that: (a) persons A, B, C occupy the first, second, and third places in

In how many ways can 8 people be lined up so that:

(a) persons A, B, C occupy the first, second, and third places in the row respectively
b) persons A and B stand next to each other, and two other persons stand between them, and person C
(c) persons A and B were not standing next to each other
d) person A was standing first in the row and further down the row person B was standing closer to A than to person C?

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