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The tutorial discusses the permutations of the letters in the word "forum." It outlines that there are four letters (F, O, R, M), and explores how to reorder them. The speaker explains that there are four options for the first letter. After selecting the first letter (e.g., M), only three letters remain for the next position, demonstrating how to calculate the number of possible arrangements. This approach emphasizes counting the choices step-by-step for each letter slot to determine the total permutations of the word.