Question

In how many words can you form the word ALGEBRA?

Answer 1

The way you worded it , we could form 3 letter words, or 5 letter words, etc.

In other words, it becomes a "Scrabble" type question and not really a math question.
Is that what you need ?

or

is it, "in how many ways can we arrange all the letters of the word ALGEBRA ?

if that is the case, it would be
7!/2! = 2520