Zeynep (the lady of the rings) has 10 identical gold, 10 identical silver and 10 identical bronze rings. (total of 30) She always wears exactly 3 rings on each of her 10 fingers in a particular sequence: first gold, then silver and last bronze. In how many different orders can she wear her 30 rings?
Pick.
A) (10!)^3 / 2^10
B) (10!)^3 / 3^10
C) 30! / 2^10
D) 30! / 3^10
E) 30! / 6^10﻿
By convention, the answer choice letters are typically listed as capital letters, not lower case. Also, professional math notation is always preferable to plain text shortcuts.   30! / 6^10﻿   ANSW30! / 6^10﻿R:30! / 6^10﻿
<result>E</result>
Zeynep (the lady of the rings) has 10 identical gold, 10 identical silver and 10 identical bronze rings. (total of 30) She always wears exactly 3 rings on each of her 10 fingers in a particular sequence: first gold, then silver and last bronze. In how many different orders can she wear her 30 rings?