SOLUTION: How many distinguishable permutations of letters are possible in the word LOOK. Please solve and show work. Thank you.
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Question 977561: How many distinguishable permutations of letters are possible in the word LOOK. Please solve and show work. Thank you. Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Potentially, there are 24 (4!) ways to do this divided by 2!1!1!, or 2, so there should be 12 ways. The two Os limit the number of ways.
They are
OOLK
OOKL That takes care of both Os in position 1 and 2. Now do it in 1 and 3.
OKOL
OLOK Next is 1 and 4 position
OLKO
OKLO Now 2 and 3 position
KOOL
LOOK And then 2 and 4 position
KOLO
LOKO Finally 3 and 4 position
KLOO
LKOO
