Two mannequins – 1 and 2 – will be dressed for display in outfits chosen from ten articles of clothing. Each article is in exactly one of three colors: navy, red, or yellow. There are three hats – one in each color; three jackets – one in each color; three skirts – one in each color; and one red tie. Each mannequin wears exactly one of the hats, one of the jackets, and one of the skirts. Furthermore, their outfits must meet the following restrictions:
Neither mannequin wears all three colors.
Each mannequin wears a hat in a different color from the jacket it wears.
Mannequin 2 wears the navy skirt.
Mannequin 1 wears the tie.
If all four of the red articles of clothing are included in the two mannequins' outfits, which one of the following must be true?
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Mannequin 1 wears the red hat.
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Mannequin 1 wears the yellow jacket.
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Mannequin 2 wears the navy jacket.
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Mannequin 1 wears no navy articles of clothing.
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Mannequin 2 wears no yellow articles of clothing.