The total number of different words that can be formed by rearranging the consonants of the word "daughter" such that the beginning and ending letters are consonants is 5×4 = 20 words.
What is consonant?
A consonant is a speech sound produced by obstructing or restricting the airflow in the vocal tract. Unlike vowels, which are produced with an open vocal tract, consonants involve a closure, narrowing, or constriction in the airflow, which results in specific sounds.
To find the number of different words that can be formed using the word "daughter" where the ending and beginning letters are consonants, let's first identify the consonants in the word "daughter."
The consonants in the word "daughter" are: d, g, h, t, r.
We need to arrange the consonants in such a way that the first and last positions are occupied by consonants.
For the first position, there are 5 consonants available. Once a consonant is chosen for the first position, there remain 4 consonants to choose from for the last position (since repetition is not allowed).
The complete question is:
How many different words can be formed by the word "daughter" so that ending and beginning letters are consonants?