6. A fashion designer designs outfits for women with a blouse, skirt, and matchi

Question

6. A fashion designer designs outfits for women with a blouse, skirt, and matching shoes. The featuring one of the seven colors of the rainbow (Red/Orange/Yellow/Green/Blue/Indigo/Violet). (b) A client wants the shoes to match either the skirt or blouse, but not both. How many the same color (because that's boring). How many outfits can the designer offer? shoes are always a matching pair. The blouse, skirt, and shoes are always a solid pattern (a) How many outfits can the designer make (whether or not they match)? outfits can the designer offer? (c) A second client is happy with any outfit as long as the blouse, skirt and shoes are not all

Explanation / Answer

(a) The blouse has 7 choices

The skirt has 7 choices

The shoes have 7 choices

Total outfits = 7*7*7 = 343.

(b) The blouse has 7 choices

The skirt has 6 choices

The shoes have 2 choices (match the blouse or the skirt)

Total number of outfits = 7*6*2 = 84.

(c) The blouse has 7 choices

The skirt has 6 choices

The shoes have 5 choices

Total number of outfits = 7*6*5 = 210.

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