The word “BANANA” is to be rearranged. How many different arrangements are there?
Options
A
60
B
120
C
360
D
720
Answer & Analysis
Answer
A
Analysis
Question Analysis
This question involves calculating the number of permutations of a word with repeated letters.
The main focus is on using the formula for permutations of multi - sets, which accounts for the non - distinct elements in the set.
Key Concept Explanation
The formula for permutations of a multi - set with objects, where there are of one kind, of another kind, …, of the th kind is , and .
This formula adjusts the total number of permutations of objects to account for the repetitions.
Step - by - Step Solution
The word “BANANA” has letters in total.
The letter 'A' is repeated times and the letter 'N' is repeated times.
Using the formula , we substitute
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