Determine whether the statement is true or false, and explain why. K The number of distinguishable permutations of the letters in the word "downsize" is 81. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The statement is true. If a word has n letters, then the number of distinguishable permutations of the letters in the word is always nl. OB. The statement is true. This is because there are 8 different letters in the word. O.C. The statement is false. The number of distinguishable permutations is instead. (Simplify your answer.)