Step 1 :Determine the number of different arrangements of the six letters in the word ANSWER without any restrictions.
Step 2 :Since there are no repeating letters, we can simply calculate the factorial of the number of letters, which is 6.
Step 3 :Calculate the factorial of 6 to get the total number of arrangements.
Step 4 :\(6! = 720\)
Step 5 :The number of different arrangements of the six letters in the word ANSWER without any restrictions is \(\boxed{720}\).