Question 1110776: find the number of distinguishable permutations that can be made from the letters of the word ANTARCTICA Answer by ikleyn(52778) (Show Source):
There are 10 letters (symbols) in the word, in all.
Of them, there are
- 3 repeating (identical) "A",
- 2 repeating (identical) "T".
- 2 repeating (identical) "C".
The number of distinguishable permutations is P = = 151200.
3! in the denominator accounts for repeating "A",
2! in the denominator accounts for repeating "T",
3! in the denominator accounts for repeating "C".
