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How many four–letter permutations can be formed from the letters of the word OHIO?

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Noah G Share
Jan 24, 2016


Since two letters are the same, you will divide n!, or the total number of letters in the word, by #n_1!(n_2!)#, etcetera, where #n_1# is the number of repeated letters in the word, and #n_2!# is another type of repeated letter, such as in the word ANNA, #n_1!# = 2! and #n_2!# = 2!, because there are 2 a's and 2 n's.


number of different words possible = #(4!)/(2!)#, since there are two o's in Ohio and therefore two repeated letters

When calculated:

= #24/2#

= 12

So, 12 four word permutations are possible with the letters in the word Ohio.


  1. Find the number of combinations of the letters in the word CIVIC

  2. Find the number of combinations of the letters in the word PINEAPPLE

Hopefully you understand!

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