Suzy is going on a around-the-world tour of 80 days. She has packed 7 tops, 5 bottoms and 3 footwear. Being social-media conscious, she wants to post a selfie everyday to showcase her different outfits. To stay fresh, she does not want to wear the same outfit on different days, nor does she want to wear 2 of the same pieces of clothing on different days.
Does she have enough outfits to last 80 days?
For example, if she wore the red shirt, red pants and sport shoes on one day, she cannot wear the red shirt, blue pants and sport shoes on another day.
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