Answer:
907,200 different 10-letter arrangements can be formed using the letters in the word ANTEBELLUM
Step-by-step explanation:
Number of arrangments:
A word has n letters.
There are m repeating letters, each of them repeating times
So the number of distincts ways the letters can be permutated is:
[tex]N_{A} = \frac{n!}{r_{1}! \times r_{2}! \times ... \times r_{m}}[/tex]
In this question:
ANTEBELLUM has 10 letters.
E and L each occur two times. So
[tex]N = \frac{10!}{2!*2!} = 907200[/tex]
907,200 different 10-letter arrangements can be formed using the letters in the word ANTEBELLUM
