Answer:
180
Step-by-step explanation:
A word has n letters.
There are m repeating letters, each of them repeating [tex]r_{0}, r_{1}, ..., r_{m}[/tex] 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:
Extent has 6 letters.
E and r repeat 2 times. So
[tex]N = \frac{6!}{2!*2!} = 180[/tex]
So the answer is 180.
