Question 146034
From the word TRIGONOMETRY, we are asked to find every possible arrangement using the letters found in the word.  


We have twelve letters total, but only nine different letters.  (There are three repeating letters which we will account for in the denominator).


Using the formula for permutation, we have:


{{{12! / 2! 2! 2!}}}


Which gives us an answer of 59875200