How many ways can we rearrange the letters of the word FACIAL so that no rearrangements start with an A? The two A's are indistinguishable.
The total number that don't start with an A =
Select any non-A = 4 ways
And with each of these the other identifiable arrangements = 5!/2! = 60
So 4 * 60 = 240 arrangements that do not start with an "A"