How Many 4-Letter Words Can Be Made from 5 Letters? Permutations Explained

Learn how to calculate the number of 4-letter words from 5 letters using permutations without repetition with a simple formula.

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From 5 different letters, you can make 120 unique 4-letter words. This is calculated using the formula for permutations without repetition, given by P(n, r) = n! / (n-r)!, where n is the total number of elements to choose from (in this case, 5), and r is the number of elements to arrange (4). Hence, P(5, 4) = 5! / (5-4)! = 120.

FAQs & Answers

  1. What is the formula to calculate permutations without repetition? The formula is P(n, r) = n! / (n-r)!, where n is the total number of items and r is the number of items to arrange.
  2. How many unique 4-letter words can be made from 5 different letters? You can make 120 unique 4-letter words from 5 different letters using permutations without repetition.
  3. Can letters be repeated when forming words in this problem? No, letters cannot be repeated since the calculation is based on permutations without repetition.

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