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If the letters of the word ALGORITHM are...

If the letters of the word ALGORITHM are arranged at random in row what is the probability that the letters GOR must remain together as a unit?

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As all are unique alphabets so use permutations to get your answer i.e. Total words can be formed will be 9!
When GOR is together i.e `7!3! `
So probability will be `(7!3!)/(9!)= (3×2)/(9×8)=1/12`
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