How do you solve it?
Lorena is the administrator of a store selling shoes for women and 12 different models arrive this summer.
If you want to place 4 pairs of shoes per shelf in the store, how many ways can you organize them?
A) 28
B)495
C)11880
D)20736
E) 20
Lorena is the administrator of a store selling shoes for women and 12 different models arrive this summer.
If you want to place 4 pairs of shoes per shelf in the store, how many ways can you organize them?
A) 28
B)495
C)11880
D)20736
E) 20
1 Answer
I believe the answer is C) 11 880 ways, if we consider order on the shelf to matter.
Explanation:
You treat each pair of shoes as a single object. In that case, you have 12 items and you will choose 4, with order being important (the way I am reading the problem at least).
So, we calculate the permutations of 12 objects, taking 4 at a time:
12P4 =
(By the way, if you consider order not to be important, then we calculate a combination of 4 chosen from 12 items, which is
12C4 =