(Solution) - In how many ways can the digits 1 through 9 -(2025 Original AI-Free Solution)

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In how many ways can the digits 1 through 9 be arranged such that
(a) All the even digits precede all the odd digits?
(b) All the even digits are adjacent to each other?
(c) Two even digits begin the sequence and two even digits end the sequence?
(d) The even digits appear in either ascending or descending order?