Find the number of distinguishable permutations of the letters in the word. HI
To find the number of distinguishable permutations of the letters in the word "HI," we can use the formula for permutations of a word with repeated letters.
The word "HI" has two letters, and they are both distinct. In this case, the number of distinguishable permutations is given by the formula:
n! / (n1! * n2! * ... * nr!)
where n is the total number of letters in the word, and n1, n2, ..., nr are the frequencies of each repeated letter.
In our case, since we have only one of each letter, the formula simplifies to:
2! / (1! * 1!) = 2
Therefore, there are 2 distinguishable permutations of the letters in the word "HI".
To verify this result, we can list out all the possible permutations. In this case, the two permutations are "HI" and "IH".