How many distinct arrangements can be made from the letters of the word "BOOK"?

Maths / 100 Most Repeated MCQs of Math — Multiple-choice practice

  1. A. 12
  2. B. 20
  3. C. 10
  4. D. 25

Correct answer

12

Explanation

Explanation The word BOOK has 4 letters, where ' O ' appears twice. The formula for distinct permutations is: 4 ! 2 ! = 24 2 = 12 Since ' O ' is repeated, we divide by 2 ! to avoid overcounting.

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