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To find the total number of outfits Noah can choose from, we need to multiply the number of choices for each category.
Number of choices for pants: 6
Number of choices for t-shirts: 7
Number of choices for sweaters or hoodies: 6
Number of choices for shoes: 5
Total number of outfits = 6 pants * 7 t-shirts * 6 sweaters or hoodies * 5 shoes = <<6*7*6*5=1260>>1260
Noah has 1260 different outfits to choose from.