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

Answer:

He could make 17280 outfits

Step-by-step explanation:

Given,

Number of shirts = 10,

Pants = 4,

Shoes = 3,

Neckties = 12,

Socks = 12,

Thus, the total possible outfits he can make  

$=^{10}C_1\times ^{4}C_1\times ^3C_1\times ^{12}C_1\times ^{12}C_1$

$=10 \times 4 \times 3 \times 12 \times 12$

= 17280