Respuesta :

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