Answer:60,480
Step-by-step explanation:
Given
Word ENERGETIC contains
[tex]3-E's[/tex]
[tex]1-N[/tex]
[tex]1-R[/tex]
[tex]1-G[/tex]
[tex]1-T[/tex]
[tex]1-I[/tex]
[tex]1-C[/tex]
i.e. there are 9 letters
So, no of ways of arranging 9 letters out of which 3 are same is given by
[tex]=\dfrac{9!}{3!}=60,480[/tex]
here 3! is for 3-E's
