Clothing Clash

Logic Level pending

Diana goes to dance classes. When she does, her outfit is a dress, a pair of dance shoes and a pair of earrings. If she has three dresses, three pairs of dance shoes, and three pairs of earrings, how many different dress-shoes-earrings outfits can she make? (Share your solution in the comments.)

The answer is 27.

2 solutions

§Martie On Brilliant
Mar 20, 2021

As there are: $\\$ - ${\color{#D61F06} 3}$ dresses $\\$ - ${\color{#3D99F6} 3}$ dance shoes $\\$ - ${\color{#20A900} 3}$ pairs of earrings $\\$

Diana can make ${\color{#D61F06} 3}$ $\times$ ${\color{#3D99F6} 3}$ $\times$ ${\color{#20A900} 3}$ $=$ $\boxed{27}$ different outfits

Vishruth K
Mar 19, 2021

Let's put Dress 1 as the dress and set that aside. The 9 combinations for the shoes and earings are 1/2 (Shoe Pair 1/Earring Pair 2), 2/1, 1/1, 2/2, 1/3, 3/1, 3/3, 2/3, and 3/2. That's the same if you substitute Dress 1 with Dress 2 or 3. So 9 shoe-earring combinations for 1 dress x 3 dresses = 27 dress-shoe-earring combinations.

Clothing Clash

The answer is 27.

2 solutions

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