安 = to install; 排 = to arrange
安排 = to arrange; to set up (arrange/ set up objects in order and or in different placement base on a detailed plan) ; to plan for
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佈 = to distribute; 置 = to place
佈置 = to arrange; to set up (arrange/ set up objects in place)
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When detailed planing is involved, you have to use 安排. The key word is 排 (to arrange)
Example:
安排他的孩子去美国读书 (arrange his children to go to US to study)- it involve a plan
把殺手佈置在會埸中 (place assassins in the meeting place)- it only describe the act of placing assassins
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Use 佈置 when you are just placing objects into position. The key word is 置 (to place)
Example:
佈置路障 = set up (to place) roadblocks
佈置內應 = set up (to place) inside men
佈置陷阱 = set up trap (to place trap(s) in one or more locations)
Planning or order doesn't matter
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安排路障 = arrange roadblocks (according to a plan)
安排內應 = arrange inside men (according to a plan)
安排陷阱 = arrange trap (according to a plan)
planning or order matters
佈置 and 安排 can be used as a noun
Example:
一個佈置 = a set up
一個安排 = an arrangement