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  • How many different ways can the letters in the word "BOOKKEEPER" be arranged?Option: 1 <img alt="151200" src="https://entrancecor

How many different ways can the letters in the word "BOOKKEEPER" be arranged?

Option: 1

151200


Option: 2

131500


Option: 3

125500


Option: 4

113200


Answers (1)

best_answer

Given that,

The given word is “BOOKKEEPER”.

The total number of letters in the word is 10.

The letter O is repeated twice.

The letter K is repeated twice.

The letter E is repeated thrice.

Thus, the number of ways the letters in the word are arranged is given by,

\begin{aligned} & \frac{10 !}{2 ! 3 ! 2 !}=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2}{2 \times 3 \times 2 \times 2} \\ & \frac{10 !}{2 ! 3 ! 2 !}=10 \times 9 \times 8 \times 7 \times 6 \times 5 \\ & \frac{10 !}{2 ! 3 ! 2 !}=151200 \end{aligned}

Therefore, the total number of ways the letters are arranged is 151200 ways.

 

Posted by

Rishabh

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