I would let them pick a colour (blue, green, pick, red, etc.), but I would narrow down to three shades of that colour. Then they could pick the specific one they wanted.

yes! when the last teenaged sdd goes away to college and the 2 younger dd's 8&9 get her room they will get there wishes: 2 walls blue and 2 walls purple

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My kids all picked their own color, oldest DS's room is a pale gray, oldest DD's room is a bright orange, the younger kids share a room its painted sage green.

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DS-16
DD-13
DD-5
DS-3