if I have 4 socks, 4 pairs of pants, 4 shirts, and four hats, how many combinations are there

Question

How do I solve this?

Answer 1

Here You have to use combination

 

you can combine every socks with every pant ,shirt and hat.

 

So just do

 

4  socks * 4 pants* 4 shirt * 4 hats=256

 

 

Answer 2

There are 1000 numbers from 000 to 999 -- think of a counter like an odometer (you know, in a car), a gas pump, etc.  Each digit cycles through all the values and then the next digit increments.

 

This problem has:

  socks   pants   shirts   hats

    0         0          0        0

    1         1          1        1

    2         2          2        2

    3         3          3        3

and "counts" outfits numbered from 0000 to 3333 (note: no digit greater than 3 allowed).  There are 4*4*4*4=256 combinations.

Answer 3

to find the total number you multiply how many you have of each

 

4 socks x 4 pants x 4 shirts x 4 hats = 4 x 4 x 4 x 4 = 256 combinations