Subjects combinatorics

Word Permutations Ecbeac

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1. **State the problem:** We want to find how many different permutations can be made from the letters of the word "help". 2. **Formula used:** The number of permutations of $n$ distinct objects is given by $n!$ (factorial of $n$). 3. **Apply the formula:** The word "help" has 4 distinct letters: h, e, l, p. 4. **Calculate factorial:** $$4! = 4 \times 3 \times 2 \times 1 = 24$$ 5. **Interpretation:** There are 24 different ways to arrange the letters of the word "help". **Final answer:** 24