SOLUTION: 3A store has 5 shirts, 4 Jackets, 8 Pants, and 2 Socks. In how many ways (different orders) can these objects be put on display? ( Jacket, Jacket is the same as Jacket, Jacket. I.E

Algebra ->  Permutations -> SOLUTION: 3A store has 5 shirts, 4 Jackets, 8 Pants, and 2 Socks. In how many ways (different orders) can these objects be put on display? ( Jacket, Jacket is the same as Jacket, Jacket. I.E      Log On


   

Question 397990: 3A store has 5 shirts, 4 Jackets, 8 Pants, and 2 Socks. In how many ways (different orders) can these objects be put on display? ( Jacket, Jacket is the same as Jacket, Jacket. I.E treat all the items of the same object as the same)
I tried
(21!/(5!*4!*8!*2!)
Is this correct?
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
It's correct, except that there are 19 total items. The number of ways would be

19!/(5!4!8!2!).