SOLUTION: How many ways are there to arrange the letters F, R, E, E, if the E's must be side by side?

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Question 693953: How many ways are there to arrange the letters F, R, E, E, if the E's must be side by side?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
The E's must be side by side. So you can think of EE as one letter (call it Z)

So

F, R, E, E

turns into

F, R, Z

There are 3 unique letters, so there are 3! = 3*2*1 = 6 permutations and they are


FRZ
FZR
RFZ
RZF
ZFR
ZRF

Wherever you see a "Z" in the list above, just replace it with EE, so you'd get this new list if you do that

FREE
FEER
RFEE
REEF
EEFR
EERF