Argyle has 8 t-shirts and 5 pairs of shorts that he wears with either sandals or sneakers. If all the colors and patterns coordinate, how many different outfits can he make?
Answer (2)
Argyle can make 80 different combinations of outfits, by multiplying the number of t-shirts (8), shorts (5), and footwear (2) choices he has.
The question presented is a combinatorics problem where Argyle can make different outfits based on the clothing items he has. He has 8 t-shirts and 5 pairs of shorts, which can be paired with either sandals or sneakers. To calculate the total number of different outfits, we can multiply the number of choices for each clothing category.
Argyle can choose from 8 t-shirts, 5 pairs of shorts, and 2 types of footwear. Using the basic principle of counting, we find the total number of different outfits:
Number of t-shirt choices: 8
Number of shorts choices: 5
Number of footwear choices: 2 (sandals or sneakers)
The formula for the total number of outfits is:
Total outfits = T-shirts × Shorts × Footwear
Therefore:
Total outfits = 8 (t-shirts) × 5 (shorts) × 2 (footwear) = 80 different outfits.
Argyle can thus make 80 different combinations of outfits with his current wardrobe.
Argyle can create a total of 80 different outfits by multiplying the number of t-shirts (8), pairs of shorts (5), and types of footwear (2). The calculation is done by using the formula: Total outfits = T-shirts × Shorts × Footwear. Hence, he has plenty of combinations to choose from!
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