How many ways are there to rearrange the letters in FUNCTION?

Mathematics
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How many ways are there to rearrange the letters in FUNCTION?

Jun 8th, 2015

If there were not any duplicated (or triplicated) letters then there would be 6! or 720 ways to rearrange the letters. 6! = 6x5x4x3x2x1. 
This is because the first letter could be any of the 6 in the word tattoo. 
The 2nd letter could be any of the 5 remaining letters 
The 3rd could be any of the 4 remaining. 
The 4th could be any of the 3 remaining 
The 5th could be any of the 2 remaining 
The 6th has no choice = 1 

Therefore if all letters were different there would be 6x5x4x3x2x1 ways = 720

Jun 8th, 2015

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