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If the letters of the word 'ALGORITHM' a...

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

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Number of latters in the word 'ALGORITHM' =9
If 'GOR' remain together, then considered it as 1 group.
`therefore "Number of latters" = 6+1=7`
Number of word, if 'GOR' remain together = 71
`"Total number of words from the letters of the word 'ALGORITHM'" =9!`
`therefore "Required probability"=(7!)/(9!)=(1)/(72)`
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