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
[tex]=^{10}C_1\times ^{4}C_1\times ^3C_1\times ^{12}C_1\times ^{12}C_1[/tex]
[tex]=10 \times 4 \times 3 \times 12 \times 12[/tex]
= 17280