Problem

How many different linear arrangements are there of the letters A, B, C, D, E, F for which...

How many different linear arrangements are there of the letters A, B, C, D, E, F for which

(a) A and B are next to each other?


(b) A is before B?


(c) A is before B and B is before C?


(d) A is before B and C is before D?


(e) A and B are next to each other and C and D arc also next to each other?


(f) E is not last in line?

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