If you have 4 people, who each have the option of 4 shirts, 4 pants, and 4 shoes, how many combinations? ?

4 people

4 shirts

4 pairs of pants

4 pairs of shoes

=

how many total combinations? is it 64 per person for a total of 256?

Update:

Actually, now that I did it this way (below) I'm getting 27 per person, for a total of 81....

A shirt

B Shirt

C Shirt

D Pants

E Pants

F Pants

G Shoes

H Shoes

I Shoes

ADG, ADH, ADI, AEG, AEH, AEI, AFG, AFH, AFI, BDG, BDH, BDI, BEG, BEH, BEI, BFG, BFH, BFI, CDG, CDH, CDI, CEG, CEH, CEI, CFG, CFH, CFI

Help! Please tell me how you get your number.

Update 2:

Oops, nevermind...obviously I just did 3 of each, instead of 4. Thanks everyone!

3 Answers

Relevance
  • 1 decade ago
    Favorite Answer

    Exactly.

    Assuming you are combining a person, with a specific shirt, pair of pants and pair of shoes then you have 4 choices for each.

    4 x 4 x 4 x 4 = 4^4 = 256 ways to clothe a person.

    • Login to reply the answers
  • 1 decade ago

    it's 4 x 4 x 4 x 4. 16 x 16. yeah it's 256. 256 divided by 4 gives u the answer for how many per person

    • Login to reply the answers
  • 1 decade ago

    correct

    • Login to reply the answers
Still have questions? Get your answers by asking now.