Question

Lucy wants to wear different clothes everyday. She has 8 dresses, 7 pairs of shoes, and 3 pairs of earrings. Lucy can choose 1 dress, 1 pair of shoes, and 1 pair of earrings every day. However 1 dress and 1 pair of shoes don’t look good together. In such circumstances, how many days can she wear outfits differently?

Answer 1

She can wear outfits differently in 167 days.

Given that Lucy wants to wear different clothes everyday, and she has 8 dresses, 7 pairs of shoes, and 3 pairs of earrings, and Lucy can choose 1 dress, 1 pair of shoes, and 1 pair of earrings every day, but however 1 dress and 1 pair of shoes don't look good together, to determine, in such circumstances, how many days can she wear outfits differently, the following calculation must be made:

• (8 x 7 x 3) - 1 = X
• 168 - 1 = X
• 167 = X

Therefore, she can wear outfits differently in 167 days.

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