Multiple choice

In how many different ways can the letters of the word 'BOOK' be arranged?

  1. 31

  2. 44

  3. 21

  4. 12

  5. 13

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The word BOOK has 4 letters with O repeating twice. Arrangements = 4! / 2! = 24 / 2 = 12.

AI explanation

The word BOOK consists of 4 letters where the letter O is repeated twice. We use the permutation formula for a multiset, n! / p!, where n is the total number of items and p is the factorial of the repeated items count. This gives us 4! / 2! = (4 3 2 1) / (2 1) = 12.