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If the letters of the word ALGORITHM are arranged at random in a row what is the probability the letters GOR must remain together as a unit? Select the correct answer from above options

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Given word is ALGORITHM ⇒ Total number of letters in algorithm = 9 ∴ Total number of words = 9! So, n(S) = 9! If ‘GOR’ remain together, then we consider it as one group. ∴ Number of letters = 7 Number of words, if ‘GOR’ remain together in the order = 7! So, n(E) = 7!

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