Question: 3.2.9 Susan has five dresses, three skirts, four blouses, three pairs of shoes, and two hats. She always wears shoes, and either a dress or

3.2.9 Susan has five dresses, three skirts, four blouses, three pairs of shoes, and two hats. She always wears shoes, and either a dress or a blouse and a skirt. She may or may not wear a hat. (i) How many different combinations can she wear? (ii)

Suppose Susan can afford buying either a dress or a hat (but not both). What should she buy to maximize the number of different combinations that she can wear? (iii)

Suppose that Susan’s brown shoes do not match her pink or blue dress, and that the blue hat does not match her yellow blouse. How many matching combinations can she wear?

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