SOLUTION: How many arrangement are there of the letters in the word ANAGRAM if the arrangements cannot start with A?

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Question 875075: How many arrangement are there of the letters in the word ANAGRAM if the arrangements cannot start with A?
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
ANAGRAM 

First we calculate the number of distinguishable arrangements
with no restrictions:

7%21%2F3%21 = 5040%2F6 = 840

Then we calculate the number that start with A.

Every one of those is a distinguishable arrangement of NAGRAM
with an A inserted in the front.  So the number that start with 
A is:

6%21%2F2%21 = 720%2F2 = 360
  
So we subtract 360 from the 840

Answer: 840-360 = 480

Edwin