How many different arrangements can be made using all the letters in the word “BOOK”?
Options
A
6
B
12
C
24
D
48
Answer & Analysis
Answer
B
Analysis
Question Analysis
This question involves calculating permutations of a word with repeated letters.
The main focus is on using the formula , where is the total number of letters, and are the numbers of times each repeated letter appears.
Key Concept Explanation
The formula adjusts the total number of permutations of objects to account for the repetitions.
Without this adjustment, we would over - count the number of distinct arrangements due to the repeated letters.
Step - by - Step Solution
The word “BOOK” has
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