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Just one - Mississippi. I checked the Scrabble dictionary and Webster's Second International dictionary (around 250,000 words in each).

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13y ago

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How many distinguishable 6 letter words can be formed in the word CANADA?

The word "CANADA" consists of 6 letters, with the letters A appearing 3 times, and the letters C, N, and D appearing once each. To find the number of distinguishable 6-letter words, we can use the formula for permutations of multiset: [ \frac{n!}{n_1! \times n_2! \times n_3! \ldots} ] Here, ( n = 6 ) (total letters), ( n_1 = 3 ) (for A), and ( n_2 = n_3 = n_4 = 1 ) (for C, N, and D). Thus, the number of distinguishable words is: [ \frac{6!}{3! \times 1! \times 1! \times 1!} = \frac{720}{6} = 120. ] So, there are 120 distinguishable 6-letter words that can be formed from "CANADA."


How many distinguishable six letter words can be formed using the letters in CANADA?

None in either the Scrabble dictionary, or Webster's Second International dictionary. Both dictionaries contain over 250,000 words each.


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