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  • In how many ways can the seven letters of the word "ARRANGED" be arranged in a row?Option: 1 10080<st

In how many ways can the seven letters of the word "ARRANGED" be arranged in a row?

Option: 1

10080


Option: 2

10000


Option: 3

1080

 


Option: 4

5080


Answers (1)

best_answer

There are two "A"s, two "R"s, one "N", one "G", one "E" and one "D" in the word "ARRANGED".

The number of ways we can arrange the letters in the word "ARRANGED" is

\frac{8!}{2!\times 2!\times 1!\times 1!\times 1!\times 1! }=\frac{8!}{2!2!}

Therefore, the number of ways for arranging the letters is 10080 ways.

Posted by

Ritika Harsh

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