In how many different ways can the letters of the word 'BOOK' be arranged?
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In how many different ways can the letters of the word 'BOOK' be arranged?
31
44
21
12
13
The word BOOK has 4 letters with O repeating twice. Arrangements = 4! / 2! = 24 / 2 = 12.
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.