Question

How many different outfits can John make if his wardrobe includes the following: 10 different shirts 4 different colors of pants 3 different colors of shoes – tan, black, white 12neckties 12 different colors of socks

Answer 1

He could make 17280 outfits

Explanation:

Given,

Number of shirts = 10,

Pants = 4,

Shoes = 3,

Neckties = 12,

Socks = 12,

Thus, the total possible outfits he can make

`=^(10)C_1* ^(4)C_1* ^3C_1* ^(12)C_1* ^(12)C_1`

`=10 * 4 * 3 * 12 * 12`

= 17280